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Trigonometric Identities to memorize

Last updated 6:23 PM on 7/10/26
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25 Terms

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sin a cos b / cos a sin b

½ [sin(a+b) - sin (a-b)]

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cos a cos b

½ [cos (a+b) + cos (a-b)]

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sin a sin b

½ [cos (a-b) - cos (a+b)]

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sin a + sin b

2sin(a+b/2) cos(a-b/2)

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sin a - sin b

2cos(a+b/2) sin(a-b/2)

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cos a + cos b

2cos(a+b/2) cos(a-b/2)

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cos a - cos b

-2sin(a+b/2) sin(a-b/2)

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sin (a ± b)

sin a cos b ± cos a sin b

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cos (a ± b)

cos a cos b ± sin a sin b

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tan (a ± b)

(tan a ± tan b)/ 1 ± tan a tan b

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sin2θ

2sinθcosθ

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cos2θ

1 - 2sin2θ (or) 2cos2θ-1 (or) cos2θ - sin2θ

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tan2θ

2tanθ / 1-tan2θ

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tan2θ +1

sec2θ

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sin2θ + cos2θ

1

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cot2θ +1

csc2θ

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sin2θ

½ (1 - cos2θ)

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sin (θ/2)

½ ±√(1-cosθ)/2

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tan (θ/2)

±√(1- cosθ)/(1+cosθ) = sinθ/ 1+ cosθ = 1-cosθ/ sinθ

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cos(θ/2)

±√(1 + cosθ)/2

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cos2θ

½ (1 + cos2θ)