Trigonometric Identities

sinx (Reciprocal)

1/cscx

cosx (Reciprocal)

1/secx

tanx (Reciprocal)

1/cotx

cscx (Reciprocal)

1/sinx

secx (Reciprocal)

1/cosx

cotx (Reciprocal)

1/tanx

tanx (Ratio)

sinx/cosx

cotx (Ratio)

cscx/secx

sin squared x + cosine squared x

1

1 + cotangent squared x (spell it out)

cosecant squared x

tangent squared x + 1 (spell it out)

secant squared x

sin(-x)

#NAME?

cos(-x)

cosx

tan(-x)

#NAME?

csc(-x)

#NAME?

sec(-x)

secx

cot(-x)

#NAME?

sin(pi/2 minus x)

cosx

cos(pi/2 minus x)

sinx

tan(pi/2 minus x)

cotx

csc(pi/2 minus x)

secx

sec(pi/2 minus x)

cscx

cot(pi/2 minus x)

tanx

cos(A+B)

cosAcosB-sinAsinB

sin(A-B)

sinAcosB-cosAsinB

cos(A-B)

cosAcosB+sinAsinB

sin(A+B)

sinAcosB+cosAsinB

tan(A+B) (parentheses around numerator and denominator)

(tanA+tanB)/(1-tanAtanB)

tan (A-B) (parentheses around numerator and denominator)

(tanA-tanB)/(1+tanAtanB)

sin(2A)

2sinAcosA

cos(2A) #1 (spell it out)

cosine squared A minus sine squared A

cos(2A) #2 (spell it out)

two cosine squared A minus 1

cos(2A) #3 (spell it out)

1 minus two sine squared A

tan(2A) (parentheses around numerator and denominator/ spell out denominator)

(2tanA)/(1 minus tan squared A)

cos(half x) (weird answer/ numbers and words)

+- square root of (1/2(1+cosx))

sin (half x) (weird answer/ numbers and words)

+- square root of (1/2(1-cosx))

tan (half x) (weird answer/ numbers and words) (parentheses around numerator and denominator)

+- square root of ((1-cosx)/(1+cosx))

tan (half x) (normal answer #1) (parentheses around numerator and denominator)

(sinx)/(1+cosx)

tan (half x) (normal answer #2) (parentheses around numerator and denominator)

(1-cosx)/(sinx)

sin(A+B)+sin(A-B)

2sinAcosB

sin(A+B)-sin(A-B)

2cosAsinB

cos(A+B)+cos(A-B)

2cosAcosB

cos(A+B)-cos(A-B)

2sinAsinB