Question : The value of $\frac{\sec 54^{\circ}}{\operatorname{cosec} 36^{\circ}}+\frac{ an 70^{\circ}}{\cot 20^{\circ}}-2 an 45^{\circ}$ is equal to:
Option 1: 2
Option 2: 0
Option 3: 1
Option 4: 3

Question

Question : The value of $\frac{\sec 54^{\circ}}{\operatorname{cosec} 36^{\circ}}+\frac{ an 70^{\circ}}{\cot 20^{\circ}}-2 an 45^{\circ}$ is equal to:

Option 1: 2

Option 2: 0

Option 3: 1

Option 4: 3

Team Careers360 · Accepted Answer

Correct Answer: 0

Solution : $\frac{\sec 54^{\circ}}{\operatorname{cosec} 36^{\circ}}+\frac{ an 70^{\circ}}{\cot 20^{\circ}}-2 an 45^{\circ}$
$= \frac{\sec 54^{\circ}}{\operatorname{cosec} (90^\circ-54^{\circ})}+\frac{ an 70^{\circ}}{\cot (90^\circ-70^{\circ})}-2 an 45^{\circ}$
$=\frac{\sec 54^{\circ}}{\sec 54^{\circ}}+\frac{ an 70^{\circ}}{ an 70^{\circ}}-2×1$
= 1 + 1 – 2
= 0
Hence, the correct answer is 0.

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Question : The value of sec⁡54∘cosec36∘+tan⁡70∘cot⁡20∘−2tan⁡45∘ is equal to:Option 1: 2Option 2: 0Option 3: 1Option 4: 3

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Question : The value of $\frac{\sec 54^{\circ}}{cosec 36^{\circ}} + \frac{\tan 70^{\circ}}{\cot 20^{\circ}} - 2 \tan 45^{\circ}$ is equal to:
Option 1: 2
Option 2: 0
Option 3: 1
Option 4: 3