Trigonometric Identities

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Last updated 12:35 PM on 10/27/22
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29 Terms

1
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Reciprocal sinx
1/cscx
2
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Reciprocal cscx
1/sinx
3
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Reciprocal cosx
1/secx
4
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Reciprocal secx
1/cosx
5
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Reciprocal tanx
1/cotx
6
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Reciprocal cotx
1/tanx
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1 coat in the closet
1 + cot^2x = csc^2x
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I tan in one second
1 + tan^2x = sec^2x
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1 =
sin^2x + cos^2x
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Quotient tanx
sinx/cosx
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Quotient cotx
cosx/sinx
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sin(-x)
-sinx
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csc(-x)
-cscx
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cos(-x)
cosx
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sec(-x)
secx
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tan(-x)
-tanx
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cot(-x)
-cotx
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cos(A + B)
cosAcosB - sinAsinB
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cos(A-B)
cosAcosB + sinAsinB
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sin(A+B)
sinAcosB+cosAsinB
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sin(A-B)
sinAcosB - cosAsinB
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tan(A+B)
(tanA+tanB)/(1-tanAtanB)
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tan(A-B)
(tanA-tanB)/(1+tanAtanB)
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sin2x
2sinxcosx
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cos2x
cos^2x-sin^2x, 2cos^x-1, 1-2sin^2x
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tan2x
(2tanx)/(1-tan^2x)
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sin(A/2)
±√ (1-cosA)/2
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cos(A/2)
±√ (1+cosA)/2
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tan(A/2)
±√ (1-cosA)/(1+cosA) = (sinA)/(1+cosA) = (1-cosA)/sinA
±√ (1-cosA)/(1+cosA) = (sinA)/(1+cosA) = (1-cosA)/sinA