Basic Trigonometric identities Problems and solutions

The quotient identities, pythagorean identities, reciprocal identities and product identities are the basic trigonometric identities in trigonometry and they are used as formulas in problems. The following are the math questions in which you learn how to use the basic trigonometric identities in trigonometric problems.

Evaluate $\dfrac{\sin{x}-\tan{x}\cos^2{x}}{\cos{x}-1+\sin^2{x}}$