Angle difference identities Problems and Solutions

The angle difference identities are trigonometric identities, which are used as formulas in trigonometry problems. Here is the list of trigonometry questions with solutions to learn how to use the different types of angle difference trigonometric identities.

Evaluate $\dfrac{1}{\sin{10^\circ}}-\dfrac{\sqrt{3}}{\cos{10^\circ}}$

Find $\cos{100^\circ} \cos{40^\circ}$ $+$ $\sin{100^\circ} \sin{40^\circ}$

Evaluate $\sqrt{3}\csc{20^\circ}-\sec{20^\circ}$