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91Ó°ÊÓ

In Problems 79-90, find the exact value of each expression.

sin2cos-145

Short Answer

Expert verified

The exact value is2425

Step by step solution

01

Given information

Given expressionsin2cos-145

02

Assume θ=cos-1(45) and calculate sine

Calculating, we get

sinθ=1-452sinθ=1-1625sinθ=925sinθ=35

03

Substitute values in double angle formula

Using double angle formula, we get

sin(2θ)=2·35·45sin(2θ)=2425

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