Sin theta=cos theta(theta-45) where theta and (theta-45) are cute angle

Answers (1)

Given that

sin theta = cos (theta - 45) ... ...(1)

As we know that for acute angle

sin theta = cos (90 - theta)   .... (2)

On Comparing Eq (1) and (2)

cos (theta - 45) = cos (90 - theta)

Therefore

theta - 45 = 90 - theta

2(theta) = 90 + 45 = 135

theta = 135/2 = 67.5

Therefore theta is 67.5

 

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