Let △ A B C \triangle ABC △ A BC be a right-angled triangle with the right angle at B B B . If tan ⁡ A = 3 \tan A = \sqrt{3} tan A = 3 , then find t...

SSC SSC CGL Tier 2 Easy Trigonometric Ratios MCQ

Question

Let $\triangle ABC$ be a right-angled triangle with the right angle at $B$ . If $\tan A = \sqrt{3}$ , then find the values of:

$\sin A \cos C + \cos A \sin C$
$\cos A \cos C - \sin A \sin C$

Options

A.

$\frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2}$

B.

$\frac{1}{2}, \frac{1}{2}$

C.

$1, 0$

D.

$\frac{\sqrt{3}}{2}, \frac{1}{2}$

right triangletrigonometric identitiestansincos

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