Show that (90^ - ) (90^ - ) + (90^ - ) (90^ - ) = + .

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Show that sin⁡(90∘−θ)cos⁡(90∘−θ)+cos⁡(90∘−θ)sin⁡(90∘−θ)=cot⁡θ+tan⁡θ.\frac{\sin(90^{\circ}-\theta)}{\cos(90^{\circ}-\theta)}+\frac{\cos(90^{\circ}-\theta)}{\sin(90^{\circ}-\theta)}=\cot\theta+\tan\theta.

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