If $\sin \,\,\theta + {\rm{cosec}}\,\,\;\theta = 2$, the value of ${\sin ^{10}}\,\,\theta + {\rm{cose}}{{\rm{c}}^{10}}\,\,\theta $ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Application +4 | -1

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

, the value of

{\sin ^{10}}\,\,\theta + \mathrm{cose}{\mathrm{c}^{10}}\,\,\theta

View answer and explanation

Correct option: A

Option A is correct because when sin θ + cosec θ = 2, it implies sin θ = 1, and thus sin¹⁰ θ + cosec¹⁰ θ = 1 + 1 = 2.

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