Question

Simplify the expression.
-2(csc^2θ- cot^2θ) - 1

Answer 1

The value of given expression is - 3

Explanation:

Given expression as :

- 2 (cosec²Ф - cot²Ф ) - 1

Now , ∴ cosec²Ф = 1 + cot²Ф

SO, -2 (1 + cot²Ф - cot²Ф) - 1

Or, -2 (1) - 1

Or, -2 - 1 = -3

Hence the value of given expression is - 3 Answer