# Proof and Applications of double angle formula worksheet (with Answer Key)

## What is the “Proof and Applications of double angle formula worksheet”?

“Proof and Applications of double angle formula worksheet” explains what is a double angle and proves double angle formulae. This worksheet guides students to work on double angle identities by giving examples and questions as well as answers.

## What is a Double angle?

An angle is multiplied by two and if A is an angle the 2A is a double angle.

## What is a Double angle Formula?

A double angle formula deals with sine, cosine, and tangent trigonometric ratios of a double angle.

## How will the  “Proof and Applications of double angle formula worksheet” help you?

This worksheet will clarify the common misconception of taking a trigonometric ratio of a double angle as twice the trigonometric ratio of the angle. You will be confident each formula is correct as they are proven in the worksheet.

## Instructions on how to use the “Proof and Applications of double angle formula worksheet”

Start understanding the fundamental trigonometric identities given at the beginning of the worksheet. Follow the steps of proofs and examples given. It is recommended to do the exercises in the order given as they become harder as you progress.

## Conclusion

This worksheet guides the student to understand the double angle formula as well as to eliminate misconceptions then enhances the ability to handle the double angle formula.