Question

If sinθ = cos (θ - 45), where θ is acute, find the value of θ.

Answer 1

sinØ = cos (Ø-45)

since sinØ = cos(90-Ø)

therefore Cos (90-Ø) = cos(Ø-45)

90-Ø = Ø-45

90 + 45=Ø + Ø

135 = 2Ø

Ø= 62.5°

Answer 2

Answer:

67.5

Step-by-step explanation:

cos(90-sinθ)=cos(θ-45)

90-θ=θ-45

90+45=2θ

135/2=θ

θ=67.5