# Differentiation of Trigonometric Functions

• $\frac{{\text{d}}}{{{\text{dx}}}}\left( {\sin {\text{x}}} \right) = \cos {\text{x}}$
• $\frac{{\text{d}}}{{{\text{dx}}}}\left( {\cos {\text{x}}} \right) = – \sin {\text{x}}$
• $\frac{{\text{d}}}{{{\text{dx}}}}\left( {\tan {\text{x}}} \right) = {\sec ^2}{\text{x}}$
• $\frac{{\text{d}}}{{{\text{dx}}}}\left( {\cot {\text{x}}} \right) = – \cos e{c^2}{\text{x}}$
• $\frac{{\text{d}}}{{{\text{dx}}}}\left( {\sec {\text{x}}} \right) = \sec {\text{x}}\tan {\text{x}}$
• $\frac{{\text{d}}}{{{\text{dx}}}}\left( {\cos ec{\text{ x}}} \right) = – \cos ec{\text{ x}}\cot {\text{x}}$