Correct Answer - Option 2 : 2
Given
sec 60° cosec (90° - 60°) - tan2 60° + sin2 60° cosec2 60°
Formula used
cosec(90° - A) = sec A
sec2 A - tan2 A = 1
cosec A = 1/sin A
Calculation
sec 60° cosec (90° - 60°) - tan2 60° + sin2 60° cosec2 60°
sec 60° sec 60° - tan2 60° + sin2 60° × (1/sin2 60°)
⇒ sec2 60° - tan2 60° + 1
⇒ 1 + 1
⇒ 2
∴ Value of sec 60° cosec (90° - 60°) - tan2 60° + sin2 60° cosec2 60° is 2