Question

Using trigonometric identities $5{\text{cosec}}^2\theta -5{\text{cot}}^2\theta -3$ expressed as an integer is

• A. 5
• B. 3
• C. 2
• D. 0

Answer 1

The correct option is C 2

The given equation is

$5{\text{cosec}}^2\theta -5{\cot }^2\theta -3$
= $5({\text{cosec}}^2\theta -{\cot }^2\theta )-3$
= $5-3$ (since, ${\text{cosec}}^2\theta -{\text{cot}}^2\theta =1$)
= $2$