Express the given quantity in terms of sin x or cos x.
-$\sin ( 4 \pi - x )$
A) $\cos x - \sin x$
B) $\sin x$
C) $\sin ( - x )$
D) $- \sin x$

Name: Express the given quantity in terms of sin x or cos x. -$\sin ( 4 \pi - x )$ A) $\cos x - \sin x$ B) $\sin x$ C) $\sin ( - x )$ D) $- \sin x$
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Question

Quizplus · Accepted Answer

Using the identity $\sin(\pi-\theta) = \sin\theta$ we get $$\sin(4\pi - x) = \sin(2\pi - (4\pi - x)) = -\sin(-x) = -(-\sin x) = \boxed{\sin x}$$

Express the Given Quantity in Terms of Sin X or Cos