Question

The value of $\sin ({360}^o-\theta )$ is

• A. $-\sin \theta$
• B. $-\cos \theta$
• C. $\cos \theta$
• D. $\sin \theta$

Answer 1

Answer: (A)

$-\sin \theta$

$sin({360}^{\circ }-\theta )=?$

Angle ${360}^{\circ }-\theta$ will lie in fourth quadrant, in which function $sinx$ has negative value.

So, $sin({360}^{\circ }-\theta )=-sin\theta$