Answer to Question #206807 in Trigonometry for Steph

Question

2 cos 30 degrees + cot 60 degrees

2 sin 45 degrees - csc 45 degrees

Answer 1

$a)\\ 2cos30°+cot60°\\ =2cos30°+\frac{cos60°}{sin60°}\\ =2\frac{\sqrt3}{2}+\frac{\frac{1}{2} }{\frac{\sqrt3}{2}}\\ =\sqrt3+\frac{1}{\sqrt3}\\ b)\\ 2sin45°-csc45°\\ =2sin45°-\frac{1}{sin45°}\\ =2×\frac{1}{\sqrt2}-\frac{1}{\frac{1}{\sqrt3}}\\ =\sqrt2-\sqrt3$