13. If sin 0 = cos O where, 0 5 0 < 90°, find the measure
of e.
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1
Answer:
Given ,
sinθ=cos(θ−45
∘
), where θ and θ−45
∘
are acute angles
We know that,
sinθ=cos(90−θ)
∴sinθ=cos(θ−45
∘
)
cos(90
∘
−θ)=cos(θ−45
∘
)
(90
∘
−θ)=(θ−45
∘
)
2θ=90
∘
+45
∘
=135
∘
θ=
2
135
∘
θ=62
2
1
∘
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