A point on the terminal side of an angle \theta in standard position is (-8,6). Find the exact...
Question:
A point on the terminal side of an angle {eq}\theta {/eq} in standard position is {eq}(-8,6) {/eq}. Find the exact value of {eq}tan (\theta) {/eq}.
Ratio of the Tangent Angle:
In the unit circle, the {eq}x {/eq} coordinate point is considered as the adjacent side of the right triangle, and the {eq}y {/eq} coordinate point is considered as the opposite side. The ratio of the tangent angles is {eq}\frac{y}{x}. {/eq}
Answer and Explanation:
Become a Study.com member to unlock this answer! Create your account
View this answerGiven Data:
- Trigonometric function: {eq}\tan \left( \theta \right) {/eq}
- The Point is: {eq}\left(x, y \right) = \left( -8, 6 \right) {/eq}
Let us...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
Tangent Ratio of a Triangle | Formula & Examples
from
Chapter 22 / Lesson 10
14K
The tangent ratio of a triangle relates the two sides of the triangle that are not the hypotenuse. The ratio requires a simple calculation. Examples are included.
Related to this Question
- A point on the terminal side of an angle \theta in standard position is \left [ \dfrac{\sqrt{5{4}, -\dfrac{\sqrt{11{4} \right ]. Find the exact value of tan (\theta).
- (2, 3) is a point on the terminal side of an angle theta in the standard position. Find the exact value of tan theta.
- Find the exact value of \tan \theta if the point with coordinates (1,-3) is on the terminal side of the angle \theta in standard position.
- A point on the terminal side of an angle \theta in standard position is (-8,6). Find the exact value of sec (\theta).
- A point on the terminal side of an angle \theta in standard position is (-8,6). Find the exact value of csc (\theta).
- A point on the terminal side of an angle \theta in standard position is \left [ \dfrac{\sqrt{5{4}, -\dfrac{\sqrt{11{4} \right ]. Find the exact value of csc (\theta).
- Find tan \theta if \theta is an angle in standard position and the point with coordinates ( 12, 5) lies on the terminal side of the angle.
- A point on the terminal side of an angle \theta in standard position is (-8,6). Find the exact value of cos (\theta).
- A point on the terminal side of an angle \theta in standard position is \left [ \dfrac{\sqrt{5{4}, -\dfrac{\sqrt{11{4} \right ]. Find the exact value of cos (\theta).
- (2, 3) is a point on the terminal side of an angle theta in the standard position. Find the exact value of sin theta.
- The point given below is on the terminal side of an angle \theta in standard position. Find the exact value of each of the six trigonometric functions of \theta. (9, -12)
- The point given below is on the terminal side of an angle in standard position. Find the exact value of each of the six trigonometric functions of θ. (6, -7)
- The point (x, y) is on the terminal side of angle theta in standard position. Find the exact value of the given trigonometric function. (-5, 11), cos theta.
- The point (x, y) is on the terminal side of angle theta in standard position. Find the exact value of the given trigonometric function. (6, -3), tan theta.
- A point on the terminal side of an angle \theta in standard position is (-8,6). Find the exact value of sin (\theta).
- A point on the terminal side of an angle theta in standard position is (-24, 7) . Find the exact value of each of the six trigonometric functions of theta .
- A point on the terminal side of an angle theta in standard position is (4, -2). Find the exact value of each of the six trigonometric functions of theta.
- A point on the terminal side of an angle theta in standard position is (-2, -2). Find the exact value of each of the six trigonometric functions of theta.
- The point (x, y) is on the terminal side of angle theta in standard position. Find the exact value of the given trigonometric function. (2, 7), sin theta.
- (2, 3) is a point on the terminal side of an angle theta in the standard position. Find the exact value of cot theta.
- A point on the terminal side of an angle \theta in standard position is (-8,6). Find the exact value of cot (\theta).
- A point on the terminal side of an angle \theta in standard position is \left \dfrac{\sqrt{5{4}, -\dfrac{\sqrt{11{4} \right. Find the exact value of cot (\theta).
- (2, 3) is a point on the terminal side of an angle theta in the standard position. Find the exact value of cos theta.
- (2, 3) is a point on the terminal side of an angle theta in the standard position. Find the exact value of sec theta.
- A point on the terminal side of an angle theta in standard position is (sqrt 5)/4, -(sqrt(11))/4. Find the exact value of sin (theta).
- The point (-0.5, 4.5) is on the terminal side of an angle theta in standard position. Determine the exact values of the six trigonometric functions of the angle theta.
- The point (0.3, 0.4) is on the terminal side of an angle theta in standard position. Determine the exact values of the six trigonometric functions of the angle theta.
- The point (-10 / 3, -2 / 3) is on the terminal side of an angle theta in standard position. Determine the exact values of the six trigonometric functions of the angle theta.
- The point (2 / 3, 5 / 2) is on the terminal side of an angle theta in standard position. Determine the exact values of the six trigonometric functions of the angle theta.
- A point on the terminal side of an angle theta in standard position is given. Find the exact values of csc theta, sec theta, and cot theta. (sqrt 10, sqrt 2).
- The point (3, 6) lies on the terminal side of angle theta in the standard position. Find the exact value of sec theta for the angle theta.
- The terminal side of the angle theta in standard position passes through the point (-3, 6). Find the exact value for sin theta, cos theta, and tan theta.
- A point on the terminal side of the angle theta in standard position is (-3, -5). Find the value of each of the six trigonometric functions of theta.
- A point on the terminal side of an angle \theta in standard position is (sqrt 5)/4, -(sqrt (11)/4. Find the exact value of sec (theta).
- Find the value for \cos \theta for \theta, if \theta is an angle in standard position with the terminal side defined by the point (18,24).
- Point p(2, 5) is on the terminal side of the angle \theta in standard position. Find \cos\theta.
- Find the exact value of \tan \theta if \theta is in standard position and the terminal side of \theta is in quadrant III and is parallel to the line 3x - 2y = 8. a. \dfrac{3}{2} b. -\dfrac{3 \sqrt{13{13} c. \dfrac{2}{3} d. -\dfrac{2 \sqrt{13{13}
- The point given below is on the terminal side of an angle theta. Find the exact value of the trigonometric function of theta. (8, -8) cos = Blank
- Find tan A and sec A , if A is an angle in standard position with the terminal side defined by the point ( frac{1}{3},-frac{2sqrt{2{3} ).
- A point on the terminal side of angle theta is given as (-8, -2) . find the exact value of the indicated trigonometric function tan theta a. 1/4 b. 3/4 c. 8/2 d. 4/1
- Suppose that the point (sqrt{7}, 3) lies on the terminal side of an angle theta in standard position. Find the exact values of the six trigonometry functions of theta.
- A point on the terminal side of angle \theta is given. Find the exact value of each of the six trigonometric functions of \theta . (-3, -4)
- A point on the terminal side of an angle \theta is given. Find the exact value of each of the six trigonometric functions of \theta .(-3,-4) sin\theta= cos\theta= tan\theta= cosec\theta=
- Find the exact value of the trigonometric function cos theta, if theta is the angle in standard position whose terminal side contains the point (-2, sqrt{2}).
- Given that the terminal side of an angle passes through the point (-3, 7); find: 1. The angle in standard position. 2. The following trig values (exact answers) \sin\theta, \tan\theta, \cos\theta
- Given that the terminal side of an angle passes through the point (-3, 7); find: A) The angle in standard position. B) The following trig values (exact answers) (i) sin(theta) (ii) cos(theta) (iii) tan(theta)
- Find the value of the six trigonometric functions given P(-5/9,2/3) is on the terminal side of angle theta , with theta in standard position.
- A point on the terminal side of angle θ is given. Find the exact value of each of the six trigonometric functions. (-5, -9)
- Assume that theta is an angle in standard position whose terminal side contains the point (-4, -3). Find the exact value of sec(theta).
- If angle theta is in standard position and the terminal side of theta intersects the unit circle at the point ( 1 10 , 3 10 ), find tan theta.
- The point given below is on the terminal side of an angle theta. Find the exact value of the trigonometric function of theta. (8, -8) tan = Blank
- Point p(2, 5) is on the terminal side of the angle \theta in standard position. Find \sin\theta.
- The given point (4, -5) is on the terminal side of angle \theta . Find the exact values of the six trigonometric functions of \theta .
- The point (-3,1) is on the terminal side of angle \theta in standard position. What are the values of sine, cosine, and tangent of \theta?
- Point p(2, 5) is on the terminal side of the angle \theta in standard position. Find \tan\theta.
- Assume that theta is an angle in standard position whose terminal side contains the point (6, -2). Find the exact value of the following function. sin theta = _______.
- An angle A is drawn in standard position with its terminal side in quadrant 3. If tan A = 3/5, find the value of sin A.
- The point (x, 4x), x greater than 0 is on the terminal side of an angle theta in standard position. Determine the exact values of the six trigonometric functions of the angle theta.
- The point (- 2 x, - 3 x), x greater than 0 is on the terminal side of an angle theta in standard position. Determine the exact values of the six trigonometric functions of the angle theta.
- The point given below is on the terminal side of an angle \theta. Find the exact values of the six trigonometric functions of \theta. (-7.2) a. sin (\theta) b. cos (\theta) c. tan (\theta) d. cot
- Suppose that the point (-3, -\sqrt{55}) lies on the terminal side of angle \theta in standard position. Find the exact values of \cos(\theta)\ and\ \sec(\theta).
- Find the six trigonometric values of (5, -3) if it is a point on the terminal side of an angle A in standard position.
- The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (-5, -6)
- The point (-10/3,-2/3) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (-4, 10) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (-5, -2) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (-5.4, 7.2) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (2/3,5/8) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (-7, 2) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (5, 12)
- The point (7,24) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (2, 10) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (8, 15) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point (12,16) is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
- The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (-10, 8)
- If \theta is an angle in standard position and its terminal side passes through the point (-1,-8), find the exact value of tan(\theta) in simplest radical form.
- A(2, -11) is a point on the terminal side of \theta in standard form. Find the exact values of all of the trigonometric functions of \theta.
- Use given point on terminal side of angle theta to find the value of trigonometric function. tan (theta); (-18, 18).
- The terminal side of the angle \theta in standard position lies on the line 6x + 5y= 0 in Quadrant IV. Find \cos\theta.
- The point (-1, 1) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
- The point (7,24) is on the terminal side of an angle in standard position. How do you determine the exact values of the six trigonometric functions of the angle?
- The point (4,3) is on the terminal side of an angle in standard position. How do you determine the exact values of the six trigonometric functions of the angle?
- Find the value of the six trigonometric functions given P(-3.75,-2.5) is on the terminal side of angle theta , with theta in standard position.
- Find the 6 trigonometric functions given P(x,y) is on the terminal side of angle theta , with theta in standard position. (7.5,-7.5)
- Point p(2, 5) is on the terminal side of the angle \theta in standard position. Find \cot\theta.
- The point \, (12, 16)\, is on the terminal side of an angle \, \theta\, that is drawn in standard position. Determine the exact values of the six trigonometric functions of the angle \, \theta.
- The given points lies on the terminal side of an angle (theta) in standard position. Find the values of six trig functions of (theta). (2, -4).
- Suppose that the point (-3, -\sqrt{55}) lies on the terminal side of angle \theta in standard position. Find the exact values of \tan(\theta)\ and\ \cot(\theta).
- The terminal side of the angle \theta in standard position lies on the line 6x + 5y= 0 in Quadrant IV. Find \tan\theta.
- P(-4, 3) is a point on the terminal side of \theta in standard position. Identify the exact value of \tan \theta\ and \cot\theta.
- Point p(2, 5) is on the terminal side of the angle \theta in standard position. Find \csc\theta.
- Suppose that \theta is an angle in a standard position whose terminal side intersects the unit circle at (\frac{8}{17}, \frac{15}{17}). Find the exact value of \cos\theta.
- An angle \theta has \sin \theta= \frac{35}{37} and terminal side in the second quadrant. Find the exact value of \tan \theta.
- Suppose that \theta is an angle in a standard position whose terminal side intersects the unit circle at (-\frac{3}{5}, \frac{4}{5}). Find the exact value of \tan\theta.
- The point given below is on the terminal side of an angle theta. Find the exact value of the trigonometric function of theta. (8, -8) sec = Blank
- The point given below is on the terminal side of an angle theta. Find the exact value of the trigonometric function of theta. (8, -8) sin = Blank
- The point given below is on the terminal side of an angle theta. Find the exact value of the trigonometric function of theta. (8, -8) csc = Blank
- The point given below is on the terminal side of an angle theta. Find the exact value of the trigonometric function of theta. (8, -8) cot = Blank
- The terminal side of the angle \theta in standard position lies on the line 6x + 5y= 0 in Quadrant IV. Find \sin\theta.
- Find the exact values of the six trigonometric functions of theta if it is in standard position and P is on the terminal side. P(5, 12) sin theta cos theta tan theta csc theta sec theta cot theta
Explore our homework questions and answers library
Browse
by subject