# Tricky Math Puzzle at the Mathematics Department

## Can you solve the Math Department's weekly puzzle?

Are you up for the challenge of proving the complex trigonometric equation given by the Mathematics Department? Will you be able to determine if it is equivalent to the trigonometric identity and win the $50 cash prize?

## Solving the Math Puzzle

To solve the Math Department's weekly puzzle, you will need to carefully work through the complex trigonometric equation provided. Follow the steps outlined below:

- Transform the given equation to the form of the trigonometric identity tan² θ + 1-sec² θ
- Show your work and calculations clearly
- Explain your reasoning behind whether the equation is equivalent to the trigonometric identity

The Math Department's weekly puzzle challenges students to apply their knowledge of trigonometric functions and identities. By carefully analyzing and working through the given equation, you can determine if it matches the trigonometric identity provided.

It's important to remember that this type of mathematical problem requires a solid understanding of calculus and trigonometry. While it may be challenging, it's a great opportunity to test your skills and potentially earn the $50 cash prize.

Even if you are not a Math major or minor, taking on this challenge can be a rewarding experience and showcase your problem-solving abilities. Give it your best shot and see if you can prove the equivalence of the equation!