Consider the expression .

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

Problem

Consider the expression E=sec⁡30∘−cot⁡60∘1+csc⁡30∘E=\dfrac{\sec 30^{\circ}-\cot 60^{\circ}}{1+\csc 30^{\circ}}. (i) Re-express each trigonometric term in EE using sin⁡θ\sin\theta or cos⁡θ\cos\theta only. (ii) Substitute the exact values of sin⁡30∘,  cos⁡30∘,  sin⁡60∘\sin 30^{\circ},\;\cos 30^{\circ},\;\sin 60^{\circ} and cos⁡60∘\cos 60^{\circ} to evaluate EE. (iii) Simplify your answer to obtain the final numerical value of EE."

Related theory

Browse the problem library