The value of (-945^ ) is - Vidyadip

MCQ

The value of $\tan \left(-945^{\circ}\right)$ is

✓
$-1$
B
$-2$
C
$-3$
D
$-4$

✓

Answer

Correct option: A.

$-1$

(A)
$\tan \left(-945^{\circ}\right)=\tan \left[-\left(945^{\circ}\right)\right]$
$=-\tan \left[\left(2 \times 360^{\circ}+225^{\circ}\right)\right]$
$=-\tan \left(225^{\circ}\right)$
$=-\tan 45^{\circ}$
$\ldots\left[\because \tan \left(180^{\circ}+\theta\right)=\tan \theta\right]$
$=-1$

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