If ${\rm{sin\; + cosec}}\,{\rm{ = }}\,{\rm{2}}$, then ${\sin ^2}\,\,{\rm{\theta }} + {\rm{cose}}{{\rm{c}}^2}\,{\rm{\theta }}$ is equal to

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

\mathrm{sin\; + cosec}\,\mathrm{ = }\,\mathrm{2}

, then

{\sin ^2}\,\,\mathrm{\theta } + \mathrm{cose}{\mathrm{c}^2}\,\mathrm{\theta }

is equal to

View answer and explanation

Correct option: C

\mathrm{2}

Option C (2) is correct because squaring the given equation and using the reciprocal identity, we find that

{\sin ^2}\,\theta + \mathrm{cose}{\mathrm{c}^2}\,\theta = 2