If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

Given :-

•

To Prove :-

•

Proof :-

We know that ,

Therefore , here substituting the value of sinA , we have ,

Simplify the whole square ,

Add the numbers in numerator ,

Multiply it by 2 ,

Take out 2 common from the numerator ,

Simplify ,

Subtract the numbers ,

Simplify,

Hence Proved !

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