Trigonometric Identities

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Cosine Double Angle Identities

Cos(2A) = Cos^2*A - Sin^2*A 2*cos^A - 1 1 - 2*sin^2A

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Sine Double Angle Indentity

Sin(2A) = 2sin(A)cos(A)

Tangent Double Angle Identity

Tan(2A) = 2tan(A)/1-tan^2*A

Cosine Opposite Angle Identity

cos(-x) = cos(x)

Cosine Sum and Difference Identity

cos(A+/-B) = Cos(A)Cos(B) -/+ Sin(A)Sin(B)

Cotangent Quotient Identity

cos(x) / sin(x) = cot(x)

Cosine Reciprocal Identity

cos(x) = 1/sec(x)

Cosine Cofunction Identity

cos(x) = sin(pi/2 - x)

Cosine Half Angle Identity

cos(x/2) = +/-(square root of) 1/2*(1+cos(x))

Cotangent Reciprocal Identity

cot(x) = 1/tan(x)

Cotangent Cofunction Identity

cot(x) = tan(pi/2 - x)

Cotangent Cosecant Pythagorean Identity

cot^2(x) + 1 = csc^2(x)

Cosecant Reciprocal Identity

csc(x) = 1/sin(x)

Cosecant Cofunction Identity

csc(x) = sec(pi/2 - x)

Secant Reciprocal Identity

sec(x) = 1/cos(x)

Secant Cofunction Identity

sec(x) = csc(pi/2 - x)

Sine Opposite Angle Identity

sin(-x) = -sin(x)

Sine Sum and Difference Identity

sin(A+/-B) = Sin(A)Cos(B) +/- Cos(A)Sin(B)

Tangent Quotient Identity

sin(x) / cos(x) = tan(x)

Sine Reciprocal Identity

sin(x) = 1/csc(x)

Sine Cofunction Identity

sin(x) = cos(pi/2 - x)

Sine Half Angle Identity

sin(x/2) = +/- (square root of) 1/2*(1-cos(x))

Sine-Cosine Pythagorean Identity

sin^2(x) + cos^2(x) = 1

Tangent Opposite Angle Identity

tan(-x) = -tan(x)

Tangent Sum and Difference Identity

tan(A+/-B) = tan(A) +/- tan(B) DIVIDED BY 1-/+ tan(A)tan(B)

Tangent Reciprocal Identity

tan(x) = 1/cot(x)

Tangent Cofunction Identity

tan(x) = cot(pi/2 - x)

Tangent Half Angle Identity

tan(x/2) = +/- (square root of) 1+cos(x)/1-cos(x)

Tangent-Secant Pythagorean Identity

tan^2(x) + 1 = sec^2(x)


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