Question

.....................!!!solution??
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Answer 1

Hope this hlp........

Answer 2

         

$\ \ \ \ \ \boxed{ LHS } \\ \\ \Rightarrow\ \boxed{(csc\theta-\sin\theta)(\sec\theta-\cos\theta)(\tan\theta+\cot\theta)} \\ \\ \\ \Rightarrow\ \boxed{(\frac{1}{\sin\theta}-\sin\theta)(\frac{1}{\cos\theta}-\cos\theta)(\tan\theta+\frac{1}{\tan\theta})} \\ \\ \\ \Rightarrow\ \boxed{(\frac{1-\sin^2\theta}{\sin\theta})(\frac{1-\cos^2\theta}{\cos\theta})(\frac{1+\tan^2\theta}{\tan\theta})}$

$\Rightarrow\ \boxed{(\frac{\cos^2\theta}{\sin\theta})(\frac{\sin^2\theta}{\cos\theta})(\frac{\sec^2\theta}{\tan\theta})} \\ \\ \\ \Rightarrow\ \boxed{\frac{\cos^2\theta \cdot \sin^2\theta \cdot \sec^2\theta}{\sin\theta \cdot \cos\theta \cdot \tan\theta}} \\ \\ \\ \Rightarrow\ \boxed{\frac{\sin^2\theta}{\sin^2\theta}} \\ \\ \\ \Rightarrow\ \boxed{1} \\ \\ \Rightarrow\ \boxed{ RHS }$

$\sf{Hence proved!}$

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