Trigonometric Identities
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Last updated 5:27 PM on 8/6/25
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23 Terms
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sin(A+B)
sinAcosB + cosAsinB
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sin(A-B)
sinAcosB - cosAsinB
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cos(A+B)
cosAcosB + sinAsinB
4
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cos(A-B)
cosAcosB + sinAsinB
5
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tan(A+B)
(tanA+tanB)/(1-tanAtanB)
6
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tan(A-B)
(tanA-tanB)/(1+tanAtanB) [A, B, & A+B does not = pi/2]
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sin(2A)
2sinAcosA
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cos(2A)
cos²A-sin²A
2cos²A-1
1-2sin²A
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tan2A
2tanA/(1-tan²A) [A does not equal pi/2 or pi/4]
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sin²A+cos²A
1
11
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Limit Trig. Functions
limx→0sinx/x=1
limx→0(1-cosx)/x=0
limx→0tanx/x=1
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cosecant (csc)
reciprocal of sine
csc=1/sin
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secant (sec)
reciprocal of cosine
sec=1/cos
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cotangent (cot)
reciprocal of tangent
cot=1/tan
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Reciprocal Identities
sin/cos=tan
cos/sin=cot
sin²+cos²=1
tan²+1=sec²
cot²+1=csc²
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sin(A/2)
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cos(A/2)
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tan(A/2)
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sin2A
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cos2A
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tan2A
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Law of Cosines
*gamma = angle opposite to c
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Law of Sin
Note 
Flashcards (44)