Precalc Trig Identities

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precalculus

Pre-Calculus

9th

Last updated 7:59 PM on 1/20/25
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14 Terms

1
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cos(u+v)

cosu*cosv-sinu*sinv

2
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cos(u-v)

cosu*cosv+sinu*sinv

3
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sin(u+v)

sinu*cosv+cosu*sinv

4
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sin(u-v)

sinu*cosv-cosu*sinv

5
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tan(u+v)

(tanu+tanv)/(1-tanu*tanv)

6
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tan(u-v)

(tanu-tanv)/(1+tanu*tanv)

7
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sin(2u)

2*sinu*cosu

8
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cos(2u)

cos²u-sin²u

2cos²u-1

1-2sin²u

9
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tan(2u)

2*tanu/(1-tan²u)

10
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sin²u

(1-cos(2u))/2

11
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cos²u

(1+cos(2u))/2

12
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tan²u

(1-cos(2u))/(1+cos(2u))

13
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sin(u/2)

±sqrt((1-cosu)/2))

14
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cos(u/2)

±sqrt((1+cosu)/2))