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TS EAMCET · Maths · Trigonometric Ratios & Identities

\(\sqrt{3} \operatorname{cosec} 20^{\circ}-\sec 20^{\circ}\) is equal to

  1. A 1
  2. B 2
  3. C 3
  4. D 4
Verified Solution

Answer & Solution

Correct Answer

(D) 4

Step-by-step Solution

Detailed explanation

\begin{aligned} & \sqrt{3} \operatorname{cosec} 20^{\circ}-\sec 20^{\circ}=4\left(\frac{\sqrt{3} \operatorname{cosec} 20^{\circ}}{4}-\frac{\sec 20^{\circ}}{4}\right) \\ & =4\left(\frac{\frac{\sqrt{3}}{2}}{2 \sin 20^{\circ}}-\frac{\frac{1}{2}}{2 \cos…