trig identities

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Last updated 2:47 AM on 4/16/26
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10 Terms

1
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quotient identity

tanθ=sinθ⁄cosθ

2
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pythagorean identity

sin²θ+cos²θ=1

3
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double angle (sin)

sin(2x)=2×sin(x)×cos(x)

4
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double angle cos

cos(2x)=cos²(x)-sin²(x)

or =2cos²(x)-1

or = 1-2×sin²(x)

5
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double angle (tan)

tan(2x)=2×tan(x)/1/tan²(x)

6
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even

cos(-x)+cos(x)

7
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odd(sin)

sin(-x)= -sin(x)

8
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odd(tan)

tan(-x)=-tan(x)

9
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co-function(sin)

sin(π/2 - θ)= cosθ

10
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co-function(cos)

cos(π/2 - θ)= sinθ