Consider the equation where .

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Consider the equation sec⁡θ=csc⁡θ\sec \theta = \csc \theta where 0∘<θ<90∘0^{\circ} < \theta < 90^{\circ}. (a) Show that the given equation leads to sin⁡θ=cos⁡θ\sin \theta = \cos \theta. (b) Hence determine the value of θ\theta. (c) Using this value, evaluate sec⁡θ+csc⁡θ\sec \theta + \csc \theta and express your answer in simplest form.

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