Question

यदि sinθ=√3cosθ तब cosθ - sinθ के मान ज्ञात करें।

Answer 1

Step-by-step explanation:

$\sin \theta = \sqrt{3} \cos \theta \\ \\ \therefore \frac{ \sin \theta }{\cos \theta} = \sqrt{3} \\ \\ \therefore \tan \theta = \sqrt{3} \\ \\ \therefore \tan \theta = \tan 60 \degree \\ \\ \implies \: \theta \: = 60 \degree \\ \\ now \\ \\ \cos \theta - \sin \theta \\ \\ = \cos 60 \degree - \sin 60 \degree \\ \\ = \frac{1}{2} - \frac{ \sqrt{3} }{2} \\ \\ = \frac{1 - \sqrt{3} }{2} \\ \\ \\ \purple{ \boxed{ \bold{ \therefore \: \cos \theta - \sin \theta = \frac{1 - \sqrt{3} }{2} }}}$