Eliminate {eq}t{/eq} to give an equation that relates {eq}x{/eq} and {eq}y: x=\cos(t),\ y=\sin^2(t)-3{/eq}
Question:
Eliminate {eq}t{/eq} to give an equation that relates {eq}x{/eq} and {eq}y: x=\cos(t),\ y=\sin^2(t)-3{/eq}
Eliminating a Parameter:
Two variables may be expressed as separate functions of the same variable called a parameter. We may use identity equations to eliminate the common parameter and obtain a single equation relating the two variables.
Answer and Explanation: 1
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View this answerIt is given that {eq}y=\sin^2(t)-3 {/eq}.
Using the trigonometric identity {eq}\sin^2 \theta + \cos^2 \theta = 1 {/eq}, we obtain
$$\begin{alig...
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Chapter 7 / Lesson 9Learn about the elimination method in algebra. Discover how to use the elimination method, and learn how to interpret the solutions to a system of equations.