# Example 5 6 Exemplar Problems Chapter 3 Class 11

“Happiness is a butterfly, which when pursued, is always beyond your grasp, but which, if you will sit down quietly, may alight upon you.” —Nathaniel Hawthorne

# Example 5 & Example 6 Chapter 3 Trigonometric Functions

Example 5 Find the value of tan 9° – tan 27° – tan 63° + tan 81°

Example 6 Prove that $\frac{\sec8\theta-1}{\sec4\theta-1}=\frac{\tan8\theta}{\tan2\theta}$