Simplify the expression for .

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Simplify the expression sin⁡(90∘−θ)cos⁡θ+cos⁡(90∘−θ)sin⁡θ\dfrac{\sin(90^{\circ}-\theta)}{\cos\theta}+\dfrac{\cos(90^{\circ}-\theta)}{\sin\theta} for 0∘<θ<90∘0^{\circ}<\theta<90^{\circ}. (a) 00 (b) 22 (c) tan⁡θ+cot⁡θ\tan\theta+\cot\theta (d) tan⁡θ\tan\theta

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