Question

If sin4A=cos2A find the value of A.

Answer 1

$\huge \mathtt{ \fbox{Solution :)}}$

Given ,

Sin(4A) = Cos(2A) --- (1)

Since , $\large \mathtt{ \fbox{ Cos(90 - \theta) = Sin( \theta)}}$

So , eq (1) can be written as

➡Cos( 90 - 4A) = Cos(2A)

➡90 - 4A = 2A

➡90 = 2A + 4A

➡90 = 6A

➡A = 90/6

➡A = 15

Hence , the required value of A is 15

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