Question

Find the value:

$\frac{\sin {30}^0+\tan {45}^0+cosec{60}^0}{\sec {30}^0+\cos {60}^0+\cot {45}^0}$.

Answer 1

Now,

$\frac{\sin {30}^0+\tan {45}^0+cosec{60}^0}{\sec {30}^0+\cos {60}^0+\cot {45}^0}$

$=\frac{\frac{1}{2}+1+\frac{2}{\sqrt{3}}}{\frac{2}{\sqrt{3}}+\frac{1}{2}+1}$

$=1$.