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Math PC Review
Pre-Calc Final Review : Pythagorean identities, double and half angle formulas
Question | Answer |
---|---|
Pythagorean identities | cos^2θ+sin^2θ = 1, 1+tan^2θ= sec^2θ, cot^2θ+1= csc^2θ |
Double Angle cos2θ | cos^2θ-sin^2θ, 2cos2θ-1, 1-2sin2θ |
Double Angle sins2θ | 2sinθcosθ |
Double Angle tan2θ | 2tanθ/1-tan2θ |
Half Angle cosθ | cos2(θ/2)-sin2(θ/2), 2cos2(θ/2)-1, 1-sin2(θ/2) |
Half Angle sinθ | 2sin(θ/2)cos(θ/2) |
Half Angle tanθ | 2tan(θ/2) / 1-tan2(θ/2) |
Reciprocal Identities | sinθ=(1/cscθ), cosθ=(1/secθ), tanθ=(1/cotθ), cscθ=(1/sinθ), secθ=(1/cosθ), cotθ=(1/tanθ) |
Quotient Identities | tanθ = (sinθ/cosθ), cotθ= (cosθ/sinθ) |