Mathematics

Mathematics

Problem

Prove the following identity for any acute angle θ\theta : a. (i) Show that tan⁡θ tan⁡(90∘−θ)=1\tan\theta\,\tan(90^{\circ}-\theta)=1. b. (ii) Using part (i), prove that tan⁡θ tan⁡(90∘−θ)+cot⁡θ cot⁡(90∘−θ)=2\tan\theta\,\tan(90^{\circ}-\theta)+\cot\theta\,\cot(90^{\circ}-\theta)=2.

Browse the problem library