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  • If sin θ + cosec θ = 2, then sin2θ + cosec2θ is equal to A. 1 B. 4 C. 2 D. None of these

If \sin \theta + cosec \theta = 2, then \sin\textsuperscript{2} \theta + cosec\textsuperscript{2} \theta is equal to

A. 1

B. 4
C. 2
D. None of these

Answers (1)

The answer is the option (c).    

\\\sin \theta +cosec \theta =2 \\\\ ~ \left( \sin \theta +cosec \theta \right) ^{2}=2^{2}~~ \\\\ ~\sin ^{2} \theta +cosec^{2} \theta +2\sin \theta cosec \theta =4~ \\\\ ~\sin ^{2} \theta +cosec^{2} \theta +2\sin \theta cosec \theta =4~~ \\\\


   \\ ~~~\sin ^{2} \theta +cosec^{2}~ \theta +2=4~~ \\\\ ~\sin ^{2} \theta +cosec^{2} \theta =2 \\\\

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