Question

if anyone answer this question I will mark them as brainliest​

Answer 1

Answer:

$\displaystyle \sf \longrightarrow 1$

Step-by-step explanation:

Given :

$\displaystyle \sf \left(\sqrt{1-\cos^2 200}\right) \csc 200$

We have to find value of given :

We know :

$\displaystyle \sf \longrightarrow 1- \cos^2(\theta)=\sin^2 \theta$

$\displaystyle \sf \longrightarrow \sin \theta=\frac{1}{\csc \theta}$

$\displaystyle \sf \left(\sqrt{1-\cos^2 200}\right) \csc 200$

$\displaystyle \sf \longrightarrow \left(\sqrt{1-\cos^2 200}\right) \csc 200$

$\displaystyle \sf \longrightarrow \left(\sqrt{\sin^2 200}\right) \csc 200$

$\displaystyle \sf \longrightarrow \sin 200.\csc 200$

$\displaystyle \sf \longrightarrow \sin 200.\frac{1}{\sin 200}$

$\displaystyle \sf \longrightarrow 1$

Hence we get required answer.