Draw a 30-60-90 triangle. Label all angle measures and side relationships. Using the side...
Question:
Draw a 30-60-90 triangle. Label all angle measures and side relationships. Using the side relationships from the figure, show that the following trigonometric identities hold true for the given angles:
(a) {eq}\tan 60 = \sin 60/\cos 60 {/eq}
(b) {eq}{\sin ^2}\theta + {\cos ^2}\theta = 1 {/eq}
Trigonometric identities
Trigonometric equations are the relationship between trigonometric functions and the corresponding angles. Some of these trigonometric equations are standard and true for all values of angles.
For example: {eq}\sin(\theta)^2 + \cos(\theta)^2=1 {/eq} is atrigonometric identity and is true for all values of {eq}\theta. {/eq}
Answer and Explanation: 1
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(a) {eq}\tan 60 = \sin 60/\cos 60 {/eq}
In the triangle {eq}ABC, {/eq}
{eq}\sin 60= \dfrac{BC}{AC} {/eq}, {eq}\cos 60= \dfrac{AB}{AC} {/eq}...
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Trig Identities | Formula, List & Properties
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Chapter 11 / Lesson 12
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What are the different trig identities? View the list of trig identities and their properties. Learn trig formulas for all trig identities and their significance.
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