If the maximum value of the expression is equal to (where

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

If the maximum value of the expression

\frac{1}{5 \sec^2 \theta - \tan^2 \theta + 4 \csc^2 \theta}

is equal to

\frac{p}{q}

(where,

p

and

q

are coprime), then the value of

(p + q)

is (1) 14 (2) 15 (3) 16 (4) 18