Question

Q.21 If 2 sin 2A = V3 find the value of A.​

Answer 1

Given that 2sin2A = √3

To find the value of A

Now,

sin2A = √3/2

→sin2A = sin(π/3)

→2A = π/3

→A = π/6

→A = 30°

Here,the value of A is 30°

Answer 2

ANSWER:-

Given:

If 2.sin2A = √3.

To find:

Find the value of A.

Solution:

2.sin2A = √3

Dividing the both sides by 2.

$= > </u></strong><strong><u>sin2A</u></strong><strong><u> = \frac{ \sqrt{3} }{2} \\ \\ </u></strong><strong><u>S</u></strong><strong><u>o</u></strong><strong><u>,</u></strong><strong><u> \: the \: inverted \: sin \: of \: both \: sides </u></strong><strong><u>;</u></strong><strong><u> \\ = > 2</u></strong><strong><u>A</u></strong><strong><u> = sin (\frac{ \sqrt{3} }{2} ) \\ \\ = > </u></strong><strong><u>A</u></strong><strong><u> = \frac{sin( \frac{ \sqrt{3} }{2} )}{2} \\ \\ = > </u></strong><strong><u>A</u></strong><strong><u>= \frac{60 \degree \: }{2} \: \: \: \: \: \: \: \: </u></strong><strong><u>[</u></strong><strong><u>sin</u></strong><strong><u> \theta = \frac{ \sqrt{3} }{2} = 60 \degree</u></strong><strong><u>]</u></strong><strong><u>\\ \\ = > </u></strong><strong><u>A</u></strong><strong><u>= 30 \degree$

Hope it helps ☺️