Question

Find the minimum value of $cose{c}^2\theta +si{n}^2\theta$.

• A. 0
• B. -1
• C. 1
• D. 2

Answer 1

The correct option is D 2

$(cosec\theta -sin\theta ){}^2\ge 0$
$cose{c}^2\theta +si{n}^2\theta -2\ge 0$
$cose{c}^2\theta +si{n}^2\theta \ge 2$
Therefore
$cose{c}^2\theta +si{n}^2\theta \ge 2$
Hence answer is D