Correct Answer - Option 2 : 2

**Given**

sec 60° cosec (90° - 60°) - tan2 60° + sin2 60° cosec2 60°

**Formula used**

cosec(90° - A) = sec A

sec^{2 }A - tan^{2 }A = 1

cosec A = 1/sin A

**Calculation**

sec 60° cosec (90° - 60°) - tan2 60° + sin2 60° cosec2 60°

sec 60° sec 60° - tan^{2 }60° + sin^{2 }60° × (1/sin^{2 }60°)

⇒ sec^{2 }60° - tan^{2 }60° + 1

⇒ 1 + 1

⇒ 2

**∴ Value of sec 60° cosec (90° - 60°) - tan2 60° + sin2 60° cosec2 60° is 2**