Question

if tan =√7/2 and cos= 2/√11 then find the value of sin​

Answer 1

Step-by-step explanation:

$\tan \: x = \frac{ \sqrt{7} }{2} \\ \cos \: x = \frac{2}{ \sqrt{11} } \\ \\ \tan \: x = \frac{ \sin \: x}{ \cos \: x } \\ \frac{ \sqrt{7} }{2} = \frac{ \sin \: x }{ \frac{2}{ \sqrt{11} } } \\ \sin \: x = \frac{ \sqrt{7} }{2} \times \frac{2}{ \sqrt{11} } = \sqrt{ \frac{7}{11} }$