(a) Verify that for every permissible value of…

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

(a) Verify that tan⁡θ⋅cot⁡θ=1\tan \theta \cdot \cot \theta = 1 for every permissible value of θ\theta. (a) Verify that tan⁡θ⋅cot⁡θ=1\tan \theta \cdot \cot \theta = 1 for every permissible value of θ\theta. (b) Hence, or otherwise, determine all values of θ\theta in the interval 0∘<θ<180∘0^{\circ} < \theta < 180^{\circ} that satisfy tan⁡θ=cot⁡θ\tan \theta = \cot \theta.

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