Question

If 2 sin 2A = √3, then find the value of A​

Answer 1

sin 2A = √3/2

sin 2A = sin 60°

2A = 60°

A = 30°

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Answer 2

Answer:

The value of A is 30°

Step-by-step explanation:

Given,

$2 \sin(2A) = \sqrt{3}$

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

We know,

$\frac{ \sqrt{3} }{2} = \sin( {60}^{o} )$

$\sin(2A) = \sin( {60}^{o} )$

$2A = {60}^{o} \\ A = \frac{ {60}^{o} }{2} \\ A = {30}^{o}$

Therefore value of A is 30°.

One similar maths,

$\cos(2p) = \frac{1}{2} \\ \cos(2p) = \cos( {60}^{o} ) \\ 2p = {60}^{o} \\ p = \frac{ {60}^{o} }{2} \\ p = {30}^{o}$

This is a problem of Trigonometry.

Some extra Trigonometry formula,

sin(x) = cos(90° - x)

tan(x) = cot(90°-x)

sec(x) = csc(90° - x)

cos(x) = sin(90°- x)

cot(x) = tan(90° - x)

csc(x) = sec(90°- x)

Know more about Trigonometry,

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