Question

The value of `(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))` is ______.

विकल्प

• – 2

• – 1

• 1

• 2

Answer 1

The value of `(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))` is – 1.

Explanation:

`(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))`

= `((- sin θ) sec θ(- tan θ))/(secθ(- sin θ) tan θ)`

= – 1