In right-angled at

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

Problem

In △PQR\triangle PQR right-angled at QQ, let ∠P=θ\angle P = \theta. The sides adjacent and opposite to θ\theta are in the ratio 24:724 : 7. Answer the following questions. (i) Write tan⁡θ\tan\theta in simplest fractional form. (ii) Using the result of (i), find sec⁡θ\sec\theta. (iii) Hence obtain sin⁡θ\sin\theta and cos⁡θ\cos\theta. (iv) If PRPR (the hypotenuse) is 50 cm50\,\text{cm} long, determine the lengths of PQPQ and QRQR.

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