Simplify the given expression algebraically. $\cos ( \pi + x )$
A) $\sin x$
B) $- \sin x$
C) $- \cos x$

Name: Simplify the given expression algebraically. $\cos ( \pi + x )$ A) $\sin x$ B) $- \sin x$ C) $- \cos x$
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Question

Quizplus · Accepted Answer

The trigonometric identity for $\cos(\pi + x)$ simplifies to $-\cos(x)$. This is because adding $\pi$ (180 degrees) to an angle $x$ in the cosine function reflects the angle across the vertical axis, changing the sign of the cosine value but not its magnitude.

Simplify the Given Expression Algebraically cos⁡(π+x)\cos ( \pi + x )cos(π+x)

Simplify the Given Expression Algebraically $\cos ( \pi + x )$