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Pythagorean Identities
sin²(θ) + cos²(θ) =
1.000
1 + tan²(θ) = sec²(θ)
✓
1 + cot²(θ) = csc²(θ)
✓
Reciprocal Identities
sin(θ) · csc(θ) =
1.000
cos(θ) · sec(θ) =
1.000
tan(θ) · cot(θ) =
1.000
Quotient Identities
tan(θ) = sin(θ)/cos(θ)
✓
cot(θ) = cos(θ)/sin(θ)
✓
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📘 Pythagorean Identities
sin²(θ) + cos²(θ) = 1
1 + tan²(θ) = sec²(θ)
1 + cot²(θ) = csc²(θ)
🎓 Reciprocal Identities
csc(θ) = 1/sin(θ)
sec(θ) = 1/cos(θ)
cot(θ) = 1/tan(θ)
💡 Quotient Identities
tan(θ) = sin(θ)/cos(θ)
cot(θ) = cos(θ)/sin(θ)
🚀 Even-Odd Identities
sin(-θ) = -sin(θ) (odd)
cos(-θ) = cos(θ) (even)
tan(-θ) = -tan(θ) (odd)
⚡ Why Learn Identities?
- Simplification: Reduce complex expressions
- Solving Equations: Transform to solvable forms
- Calculus: Essential for integration and differentiation
- Proofs: Foundation for deriving other identities
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