Derivatives of Trigonometric Functions

This video tutorial covers the derivatives of the six basic trigonometric functions. It begins with an introduction to the concept of derivatives in trigonometry, followed by detailed explanations of the derivatives of sine, cosine, tangent, cosecant, secant, and cotangent functions. Each function's derivative is presented with its mathematical expression, helping students understand and memorize these fundamental calculus concepts.

What is the derivative of sine X?

• Secant squared X

• Negative sine X

• Negative cosecant squared X

• Cosine X

Which of the following is the derivative of cosine X?

• Secant X times tangent X

• Negative sine X

• Negative cosecant X times cotangent X

• Secant squared X

The derivative of tangent X is:

• Cosine X

• Negative cosecant squared X

• Secant squared X

• Negative sine X

What is the derivative of cosecant X?

• Negative sine X

• Negative cosecant X times cotangent X

• Secant X times tangent X

• Secant squared X

Identify the derivative of secant X.

• Cosine X

• Secant X times tangent X

• Negative sine X

• Negative cosecant squared X