Which of the following is the same as \(\sin (270 + x)°\)?
Answer Details
We can use the identity \(\sin (a+b) = \sin a \cos b + \cos a \sin b\) to simplify the expression \(\sin (270 + x)°\):
\begin{align*}
\sin (270 + x)° &= \sin 270° \cos x + \cos 270° \sin x \\
&= (-1)(\cos x) + (0)(\sin x) \\
&= -\cos x
\end{align*}
Therefore, the answer is \(-\cos x\).