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

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Application +4 | -1

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

then

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

is equal to

View answer and explanation

Correct option: C

\mathrm{2}

Option C is correct because squaring the given equation and simplifying leads to

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

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C

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