${\rm{If}}\,\,\;{\rm{\theta }}$ is an acute angle and $\tan \,\,{\rm{\theta }} = \frac{1}{{\sqrt 7 }}$, then the value of $\frac{{{\rm{cose}}{{\rm{c}}^2}\,{\rm{\theta }} - {{\sec }^2}\,\,{\rm{\theta }}}}{{{\rm{cose}}{{\rm{c}}^2}\,{\rm{\theta }} + {{\sec }^2}\,\,{\rm{\theta }}}}$ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

\mathrm{If}\,\,\;\mathrm{\theta }

is an acute angle and

\tan \,\,\mathrm{\theta } = \frac{1}{{\sqrt 7 }}

, then the value of

\frac{{\mathrm{cose}{\mathrm{c}^2}\,\mathrm{\theta } - {{\sec }^2}\,\,\mathrm{\theta }}}{{\mathrm{cose}{\mathrm{c}^2}\,\mathrm{\theta } + {{\sec }^2}\,\,\mathrm{\theta }}}

View answer and explanation

Correct option: A

3\mathrm{ }/4

Option A (

3\mathrm{ }/4

) is correct because it is obtained by substituting the given value of

\tan \theta

and using trigonometric identities to simplify the expression.