If sin $ heta$ + cosec $ heta$=2, then $\sin^{2}{ heta + {cosec}^{2} heta}$ is equal to

Question

If sin $	heta$ + cosec $	heta$=2, then $\sin^{2}{	heta + {cosec}^{2}	heta}$ is equal to

Dr. Abubacker · Accepted Answer

(c)
Given that, $\sin{	heta + cosec\ 	heta = 2}$
On squaring both sides, we get
$\sin^{2}{	heta + {cosec}^{2}	heta + 2 = 4}$
$\Rightarrow \sin^{2}{	heta + {cosec}^{2}	heta = 2}$

Q. If sin $\theta$ + cosec $\theta$=2, then $\sin^{2}{\theta + {cosec}^{2}\theta}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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