Trig identities

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Pre-Calculus

10th

Last updated 10:56 PM on 1/30/23
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15 Terms

1
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sin^2 + cos^2 =
1
2
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1 + cos^2 =
csc^2
3
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tan^2 + 1 =
sec^2
4
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sin(a+B) =
sina • cosB + cosa • sinB
5
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sin(a-B) =
sina • cosB - cosa • sinB
6
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cos(a+B) =
cosa • cosB - sina • sinB
7
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cos(a-B) =
cosa • cosB + sina • sinB
8
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tan(a+B) =
tana + tanB / 1 - tana • tanB
9
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tan(a-B) =
tana - tanB / 1 + tana • tanB
10
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sin(2ø) =
2sin • cos
11
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cos(2ø) =
cos^2 - sin^2 or 1 - 2sin^2 or 2cos^2 - 1
12
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tan(2ø) =
2tan / 1 - tan^2
13
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sin(ø/2) =
\+/- sqrt 1 - cos / 2
14
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cos(ø/2) =
\+/- sqrt 1 + cos / 2
15
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tan(ø/2) =
\+/- sqrt 1 - cos / 1 + cos or sin / 1+cos

or 1 - cos / sin