Trig Project

Fundamental Identities

Pythagorean

Quotient

Even-Odd

Reciprocal

sin x = 1/csc x
cos x = 1/sec x
tan x = 1/cot x
csc x = 1/sin x
sec x = 1/cos x
cot x = 1/ tan x

tan x = sin x/cos x
cot x = cos x/ sin x

sin^2 x + cos^2 x = 1
1 + tan^2 x = sec^2 x
1 + cot^2 x = csc^2 x

Sin(-x)=-sinx
Csc(-x)=-cscx
Cos(-x)=cosx
Sec(-x)=secx
Tan(-x)=-tanx
Cot(-x)=-cotx

6 Trigonomic Functions of Any Angle

Sum and Difference Formulas

sinx=y/r

cosx=x/r

tanx=y/x

cscx=r/y

Sines

Cosines

secx=r/x

cotx=x/y

Tangent

Cos(a - b) = cos a cos b +sin a sin b

sin (a + b) = sin a cos b - sin b cos a

Tan(a-b)=(tan a - tan b)/(1 + tan a tan b)

Half Angle Formulas

Double Angle Formulas

cos2x=

tan2x=(2tanx)/[1-tan(^2)x]

sin2x=2sinxcosx

2cos(^2)x-1

1-2sin(^2)x

cos(^2)x-sin(^2)x

cos(a/2)= +/- √(1+cosa)/2

Cos(a + b) = cos a cos b - sin a sin b

sin(a/2)= +/- √(1-cosa)/2

tan(a/2)=

sin (a - b) = sin a cos b + sin b cos a

Tan(a + b)=(tan a + tan b)/(1 - tan a tan b)

(1-cosa)/(sina)

(sina)/(1+cosa)

+/- √(1-cosa)/(1+cosa)