Simplify the given expression algebraically.
$$\cos \left( \frac { \pi } { 2 } + x \right)$$
A) $\sin x$
B) $- \sin x$
C) $\cos x$
D) $- \cos x$
E) 1

Question

Quizplus · Accepted Answer

The expression $\cos \left( \frac { \pi } { 2 } + x \right)$ can be simplified using the trigonometric identity that relates the cosine of a sum, which in this case is equivalent to $- \sin x$. This is because the cosine function is the sine function shifted by $\frac{\pi}{2}$ radians, and the addition of $x$ to $\frac{\pi}{2}$ results in a phase shift that changes the cosine to its negative sine.

Simplify the Given Expression Algebraically cos⁡(π2+x)\cos \left( \frac { \pi } { 2 } + x \right)cos(2π​+x)

Simplify the Given Expression Algebraically $\cos \left( \frac { \pi } { 2 } + x \right)$