Question

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

• A. True
• B. False

Answer 1

The correct option is A True

Ans. $True$.

${\sin }^2\theta +{\csc }^2\theta =(\sin \theta +\csc \theta {)}^2-2\sin \theta \csc \theta$

$=2^2-2.1=2$. $[\because \sin \theta +\csc \theta =2]$