First slide

Trigonometric Identities

Question

$x = \sin | \sin θ | y = \cos θ | \cos θ |$ where $\frac{99 π}{2} \leq θ \leq 50 π$ , then

Easy

A

$x - y = 1$
B

$x + y = - 1$
C

$x + y = 1$
D

$y - x = 1$

Solution

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

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