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If 4√3cosecA – 8 = 0, then, the value of √3tanA + cosA, if (0 < A < 90°)-

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If 4√3cosecA – 8 = 0, then, the value of √3tanA + cosA, if (0 < A < 90°)-


1. 3
2. 4.5
3. 3.2
4. 3.5
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Correct Answer - Option 4 : 3.5

Given:  

4√3cosecA – 8 = 0

Calculation:

4√3cosecA – 8 = 0

⇒ 4√3cosecA = 8

⇒ √3cosecA = 2

⇒ cosecA = 2/√3

⇒ A = 60°

According to question –

⇒ √3tanA + cosA

⇒ √3tan60° + cos60°

⇒ √3(√3) + ½

⇒ 3 + ½

⇒ 7/2

⇒ 3.5

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