If x \in [-1,0), then what is the value of

Gerald Ritter

Gerald Ritter

Answered question

2022-01-26

If x[1,0), then what is the value of cos1(2x21)2sin1x?

Answer & Explanation

Deegan Mullen

Deegan Mullen

Beginner2022-01-27Added 12 answers

Let x=sin(u), where u[π2,0]. Then 12x2=cos(2u).
Then 2x21=cos(π+2u) and π+2u[0,π].
Thus, cos1(2x21)2sin1(x)=π+2u2u
=π

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