Question

Evaluate:

$\frac{\sin 30°}{\cos 45°}+\frac{\cot 45°}{\sec 60°}-\frac{\sin 60°}{\tan 45°}+\frac{\cos 30°}{\sin 90°}$

Answer 1

$\frac{\sin 30°}{\cos 45°}+\frac{\cot 45°}{\sec 60°}-\frac{\sin 60°}{\tan 45°}+\frac{\cos 30°}{\sin 90°}=\frac{\left(}{\frac{1}{2}}+\frac{1}{2}-\frac{\left(}{\frac{\sqrt{3}}{2}}+\frac{\left(}{\frac{\sqrt{3}}{2}}=\frac{\sqrt{2}}{2}+\frac{1}{2}-\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}=\frac{\sqrt{2}+1}{2}$