Trigonometric identities are equations that involve trigonometric functions and are true for all values of the involved variables. They are useful for simplifying expressions and solving equations.
Examples of trigonometric identities include:
1. The Pythagorean identity:
cos²θ + sin²θ = 1
2. The reciprocal identity:
cotθ = 1/tanθ
3. The sum and difference identities:
sin(θ + φ) = sinθcosφ + cosθsinφ
cos(θ + φ) = cosθcosφ - sinθsinφ
4. The double angle identities:
sin2θ = 2sinθcosθ
cos2θ = cos²θ - sin²θ
Explain and show examples of trigonomic identities
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