A) -1
B) 1
C) 2
D) 3
Correct Answer: D
Solution :
\[\frac{\sin {{47}^{\circ }}}{\cos {{43}^{\circ }}}+\frac{\sin {{21}^{\circ }}}{\cos {{69}^{\circ }}}+\frac{\cos {{13}^{\circ }}}{\sin {{77}^{\circ }}}\] = \[\frac{\sin ({{90}^{\circ }}-{{43}^{\circ }})}{\cos {{43}^{\circ }}}+\frac{\sin {{21}^{\circ }}}{\cos ({{90}^{\circ }}-{{13}^{\circ }})}+\frac{\cos {{13}^{\circ }}}{\sin ({{90}^{\circ }}-{{13}^{\circ }})}\] = \[\frac{\cos {{43}^{\circ }}}{\cos {{43}^{\circ }}}+\frac{\sin {{21}^{\circ }}}{\sin {{21}^{\circ }}}+\frac{\cos {{13}^{\circ }}}{\cos {{13}^{\circ }}}\] = 1+1+1 = [3]
You need to login to perform this action.
You will be redirected in
3 sec
