precalc trig identities

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14 Terms

1
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Pythagorean

sin²θ + cos²θ = 1

2
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Pythagorean (tan)

tan²θ + 1 = sec²θ

3
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Pythagorean (sec)

tan²θ + 1 = sec²θ

4
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Pythagorean (cot)

cot²θ + 1 = csc²θ

5
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Pythagorean (csc)

cot²θ + 1 = csc²θ

6
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cos(a + b)

cos a cos b - sin a sin b

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sin(a + b)

sin a cos b + cos a sin b

8
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tan(a + b)

(tan a + tan b) / (1 - tan a tan b)

9
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sin 2θ

2 sin θ cos θ

10
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cos 2θ

  1. cos²θ - sin²θ

  2. 1 - 2 sin²θ

  3. 2 cos²θ - 1

11
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tan 2θ

(2 tanθ) / (1 - tan²θ)

12
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sin(θ/2)

√((1-cosθ) / 2)

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cos(θ/2)

√((1+cosθ) / 2)

14
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tan(θ/2)

sinθ/(1+cosθ)