A) -171/221
B) -21/221
C) 21/221
D) 171/221
Correct Answer: D
Solution :
Given, \[\sin \alpha =\frac{15}{17},\tan \beta =\frac{12}{5}\] \[\Rightarrow \cos \alpha =\frac{8}{17},\sin \beta =\frac{12}{13}\]and \[\cos \beta =-\frac{5}{13}\] Þ \[\pi <\beta <\frac{3\pi }{2}\], \[\therefore \cos \beta =-\frac{5}{13}\] \[\sin (\beta -\alpha )=\sin \beta \cos \alpha -\cos \beta \sin \alpha \] = \[\frac{171}{221}\].You need to login to perform this action.
You will be redirected in
3 sec