Which of the following is correct?
A) $\begin{array}{l}
\sin (-x)=\sin x, \cos (-x)=\cos x \
\tan (-x)=-\tan x
\end{array}$
B) $\begin{array}{l}
\sin (-x)=-\sin x, \cos (-x)=-\cos x \
\tan (-x)=\tan x
\end{array}$
C) $\begin{array}{l}
\sin (-x)=\sin x, \cos (-x)=-\cos x \
\tan (-x)=-\tan x
\end{array}$
D) $\begin{array}{l}
\sin (-x)=-\sin x, \cos (-x)=\cos x \
\tan (-x)=-\tan x
\end{array}$
E) $\begin{array}{l}
\sin (-x)=-\sin x, \cos (-x)=\cos x \
\tan (-x)=\tan x
\end{array}$

Question

Quizplus · Accepted Answer

Sine is an odd function, so $\sin(-x) = -\sin(x)$. Cosine is an even function, so $\cos(-x) = \cos(x)$. Tangent, being the ratio of sine to cosine, is odd, so $\tan(-x) = -\tan(x)$.

Which of the Following Is Correct? A) sin⁡(−x)=sin⁡x,cos⁡(−x)=cos⁡xtan⁡(−x)=−tan⁡x\begin{array}{l}\sin (-x)=\sin x, \cos (-x)=\cos x \\\tan (-x)=-\tan x\end{array}sin(−x)=sinx,cos(−x)=cosxtan(−x)=−tanx​

Which of the Following Is Correct?
A) $\begin{array}{l}\sin (-x)=\sin x, \cos (-x)=\cos x \\\tan (-x)=-\tan x\end{array}$