HSC Together Year 11 Maths Advanced: Proving and Applying Trigonometric Pythagorean Identities

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
• Back to other subjects
Back to other subjects

# Proving and Applying Trigonometric Pythagorean Identities

### How do I prove and apply trigonometric identities?

In this post, we will be proving and applying the trigonometric Pythagorean identities below, as a part of the Prelim Maths Advanced course under the topic Trigonometric Functions and sub-part Trigonometric Functions. We learn the difference between an equation and an identity.

• cos^{2}(x) + sin^{2}(x) = 1
• 1 + tan^{2}(x) = sec^{2}(x)
• 1 + cot^{2}(x) = cosec^{2}(x)

This video covers the three types of Pythagorean identities and examples of how they are used and proved.

### What is the difference between equations and identities?

The following video covers the main difference between equations and identities, and how they are used.

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