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What is the value of sec 60° cosec (90° - 60°) - tan60° + sin60° cosec60°
1. 1
2. 2
3. 6
4. 4

1 Answer

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Correct Answer - Option 2 : 2

Given

sec 60° cosec (90° - 60°) - tan60° + sin60° cosec60°

Formula used

cosec(90° - A) = sec A

secA - tanA = 1

cosec A = 1/sin A

Calculation

sec 60° cosec (90° - 60°) - tan60° + sin60° cosec60°

sec 60° sec 60° - tan60° + sin60° × (1/sin60°)

⇒ sec60° - tan60° + 1

⇒ 1 + 1

⇒ 2

∴ Value of sec 60° cosec (90° - 60°) - tan60° + sin60° cosec60° is 2

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