AP Precalculus Identities

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7 Terms

1
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Pythagorean Identities

sin²(θ) + cos²(θ) = 1

tan²(θ) + 1 = sec²(θ)

1 + cot²(θ) = csc²(θ).

2
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Double Agent Identities (for sin)

sin(2θ) = 2sin(θ)cos(θ)

3
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Double Agent Identities (for cos)

cos(2θ) = cos²(θ) - sin²(θ)

cos(2θ) = 2cos²(θ) - 1

cos(2θ) = 1 - 2sin²(θ)

4
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Double Agent Identities (for tan)

tan(2θ) = (2tan(θ))/(1 - tan²(θ))

5
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Sum Identities (sin)

sin(α ± β) = sin(α)cos(β) ± cos(α)sin(β)

6
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Sum Identities (cos)

cos(α ± β) = cos(α)cos(β) ∓ sin(α)sin(β)

7
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Sum Identities (tan)

tan(α ± β) = (tan(α) ± tan(β))/(1 ∓ tan(α)tan(β))

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