Principal Trigonometric Identities

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sin(-x)=

-sinx

tan(-x)=

-tanx

sin2x+cos2x=

1

sec(x)=

1/cosx

csc(x)=

1/sinx

cot(x)=

1/tanx

sin(2x) =

2sin(x)cos(x)

tan(2x) =

[2 tan(x)] / [1 - tan^2(x)]

tan(a + b) =

[tan(a) + tan(b)] / [1 - tan(a)tan(b)]

tan(a - b) =

[tan(a) - tan(b)] / [1 + tan(a)tan(b)]

cos(α - β) =

cos(α)cos(β) + sin(α)sin(β)

cos(α + β) =

cos(α)cos(β) - sin(α)sin(β)

cos(2x) =

cos2(x) - sin2(x)

cos(-x)=

cosx

cot(x)=

cosx/sinx

cot2x+1=

csc2x

tan2x+1=

sec2x

sin(α + β) =

sin(α)cos(β) + cos(α)sin(β)

sin(α - β) =

sin(α)cos(β) - cos(α)sin(β)

tan(x)=

sinx/cosx


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