Question

SinA=cos(A-45°) find the value of A​

Answer 1

SinA=cos(A-45°)

Cos(90-A)=cos(A-45)

Comparing both sides we get

90-A=A-45

2A=135

A=135/2

A=62.5°

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Answer 2

sinA=cos(A-45)

sinA=sin[90-(A-45)]

A=45-A (solving LHS and RHS)

A=45/2