First slide

Trigonometric Identities

Question

If $x = \sin θ |\sin θ|, y = \cos θ |\cos θ|, w h e r e \frac{99 π}{2} \leq θ \leq 50 π t h e n$

Easy

A

$x - y = 1$
B

$x + y = - 1$
C

$x + y = 1$
D

$y - x = 1$

Solution

$\frac{99 π}{2} \leq θ \leq 50 π$ is equivalent to $\frac{3 π}{2} \leq θ \leq 2 π$
$\begin{array}{l} ∴ x = - \sin^{2} θ a n d y = \cos^{2} θ \\ ∴ y - x = 1 \end{array}$

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