Question

if tan a=√3, find sin a.

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Answer 1

Answer:

$\sin(a) = \frac{ \sqrt{3} }{2}$

Explanation :-

$\tan(a) = \sqrt{3}$

$therefore \: a = 30 degree$

Since Tan30= √3

$\sin(a) = \sin(30)$

$\sin(30) = \frac{ \sqrt{3} }{2}$

Answer 2

$tan \: a \: = \: \sqrt{3} \\ a \: = {tan}^{ - 1} \sqrt{3} \\ \\ so \: \: \: \: \: \: \: \: a = {60}^{degee} \\ \\ sin(60) \: = \: \frac{ \sqrt{3} }{2} \: = \: 0.866025405 \:$

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