First slide

Trigonometric Identities

Question

If $\sin θ + cosec θ = 2, then \cos^{2015} θ + {cosec}^{2015} θ$ is equal to

Easy

A

-1
B

0
C

1
D

2015

Solution

$\sin θ + cosec θ = 2 \Rightarrow \sin θ + \frac{1}{\sin θ} = 2$
$\begin{array}{l} \to \sin θ - 1 - cosec θ \\ ∴ \cos θ = 0 . Thus, \cos^{2015} θ + {cosec}^{2015} θ = 1 \end{array}$

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