Question

Prove that Cos^-1(2x²-1) = 2Cos^-1(x)​

Answer 1

Answer:

I hope I will help you

Step-by-step explanation:

cos -1 (2x2 – 1) = 2 cos -1 x

Take x = cos θ

Where θ = cos -1 x

Here LHS = cos -1 (2x2 – 1)

By substituting the value of x

= cos -1 (2cos2 θ – 1)

It can be written as

= cos -1 (cos 2 θ)

= 2 θ

Substituting the value of θ

= 2 cos -1 x

= RHS

Hence, it is proved.

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Answer 2

Answer:

,

Step-by-step explanation:

here's is your answer