In △XYZ, right angled at Y, if sin X=1/2, find the value of cos X cos Z+sin X sin Z.

Correct option is A

​△XYZ, right angled at Y. 

$$\sin x = \frac{1}{2}$$ 

Formula Used:  

​$$\sin 30^0 = \frac{1}{2}$$ 

​$$\cos 30^0 = \frac{\sqrt{3}}{2}$$ 

$$\cos ( x - z ) = \cos x \cos z + sin x \sin z$$ 

Solution: