If-sin-cosec-2-then-sin-2-cosec-2-is-equal-to-

Question Number 19809 by CheaV last updated on 16/Aug/17

If \sin θ + cosec θ = 2, then \sin^{2} θ + {cosec}^{2} θ

is equal to

Answered by ajfour last updated on 16/Aug/17

{(\sin θ + cosec θ)}^{2} = \sin^{2} θ + cosec^{2} θ + 2

\Rightarrow 4 = \sin^{2} θ + cosec^{2} θ + 2

\Rightarrow \sin^{2} θ + cosec^{2} θ = 2 .

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