Mathematics

Mathematics

Problem

Which of the following expressions is identically equal to 11 for every acute angle θ\theta? a) sin⁡(90∘−θ)sin⁡θ\dfrac{\sin(90^\circ-\theta)}{\sin\theta} b) sin⁡(90∘−θ) cos⁡θ\sin(90^\circ-\theta)\,\cos\theta c) sin⁡(90∘−θ)cos⁡θ\dfrac{\sin(90^\circ-\theta)}{\cos\theta} d) sin⁡(90∘−θ)cot⁡θ\dfrac{\sin(90^\circ-\theta)}{\cot\theta}

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