Trigonometric Identities
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)
