If $cos(x - y) = \frac{\sqrt{3}}{2}$ and $sin (x + y) = \frac{1}{2}$, then the value of x( 0 < x < 90) is :
Answer & explanation
Correct answer: option 4
cos ( x - y ) = \(\frac{√3}{2}\) & sin ( x + y ) = \(\frac{1}{2}\)
We know, cos 30º = \(\frac{√3}{2}\) & sin30º = \(\frac{1}{2}\)
So, x - y = 30º ----(1)
x + y = 30º ----(2)
On adding 1 and 2 .
2x = 60º
x = 30º