If $\;\tan \,\,{\rm{\theta }},\,\,2\tan {\rm{\theta }} + 2,\;\,3\tan {\rm{\theta }} + 3\;$ are in GP, then the value of $\frac{{7 - 5\,\cot {\rm{\theta }}}}{{9 - 4\,\sqrt {{{\sec }^2}{\rm{\theta }} - 1} }}$ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Medium

1 of 1

Application +4 | -1

\;\tan \,\,\mathrm{\theta },\,\,2\tan \mathrm{\theta } + 2,\;\,3\tan \mathrm{\theta } + 3\;

are in GP, then the value of

\frac{{7 - 5\,\cot \mathrm{\theta }}}{{9 - 4\,\sqrt {{{\sec }^2}\mathrm{\theta } - 1} }}

View answer and explanation

Correct option: C

\frac{{33}}{{100}}

Option C (33/100) is the correct answer because it is obtained by solving the given GP condition for tan θ and substituting it into the expression.