1
Identity Basics
Explain why an identity is true for all allowed angle values
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Trigonometric Identities
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2
Pythagorean Identity
Derive the identity from a right triangle and Pythagoras theorem
3
Pythagorean Identity
Find one ratio when the other is given
4
Derived Identities
Divide the main identity by cos²A where valid
5
Derived Identities
Divide the main identity by sin²A where valid
6
Identity Simplification
Reduce trigonometric expressions to simpler forms
7
Identity Proofs
Transform one side to match the other side
8
Identity Proofs
Replace reciprocal ratios to simplify proof steps
9
Identity Proofs
Use algebraic factorisation within trigonometric proofs
10
Expression Evaluation
Use identities to compute exact expression values
11
Domain Reasoning
Identify when division by sin A or cos A is not valid
12
Error Analysis
Detect circular reasoning and invalid cancellation in identity proofs
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