Evaluate the following expressions without using a calculator.

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

Problem

Evaluate the following expressions without using a calculator. (i) P=sin⁡(90∘−28∘)+cos⁡(90∘−62∘)P = \sin(90^\circ - 28^\circ) + \cos(90^\circ - 62^\circ). (ii) Q=tan⁡(90∘−45∘)×sin⁡(30∘)Q = \tan(90^\circ - 45^\circ) \times \sin(30^\circ). (iii) Hence find the product P×QP \times Q.

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