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If (1/sin2x) + 2 = (1/tan2x) + 2y, then find the value of y.

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If (1/sin2x) + 2 = (1/tan2x) + 2y, then find the value of y.
1. 1
2. 3/2
3. 2
4. -1
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Correct Answer - Option 2 : 3/2

Given:

(1/sin2x) + 2 = (1/tan2x) + 2y

Identity used:

cosec2x - cot2x = 1

Explanation:

(1/sin2x) + 2 = (1/tan2x) + 2y

⇒ cosec2x + 2 = cot2x + 2y

⇒ cosec2x - cot2x + 2 = 2y

⇒ 1+ 2 = 2y

∴ The value of y is 3/2

 

 

 

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