Let be an acute angle such that .

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

Problem

Let θ\theta be an acute angle such that tan⁡θ=34\tan \theta = \dfrac{3}{4}. (i) Find sin⁡θ\sin \theta and cos⁡θ\cos \theta. (ii) Calculate csc⁡θ\csc \theta, sec⁡θ\sec \theta, and cot⁡θ\cot \theta. (iii) Verify that sin⁡θ csc⁡θ+cos⁡θ sec⁡θ=2\sin \theta\, \csc \theta + \cos \theta\, \sec \theta = 2.

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