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Question

If sin (θ + 34°) = cos θ and θ is acute, then θ = ?
(a) 56°
(b) 66°
(c) 28°
(d) 42°

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Solution

(d) 42°

We have: sin(θ+340)=cosθ=>sin(θ+340)=sin(900θ) [cosθ=sin(900θ)]=>θ+340=900θ =>2θ=560θ=280

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