Math 139 - Precalc Trigonometry

Sine Function is denoted by

sin t = y

Cosine Function is denoted by

cos t = x

if x=0, the Tangent Function is denoted by

tan t = y/x

if y=0, the Cotangent Function is defined as

cos t = x/y

If x=0, the Secant Function is defined as

sec t = 1/x

If y=0, the Cosecant Function is defined as

csc t = 1/y

Arc Length Formula

s=rθ

For an angle θ in standard position, let P = (x,y) be the point on the terminal side of θ that is also on the circle x² + y² = r²
sinθ = __

sinθ = y/r

For an angle θ in standard position, let P = (x,y) be the point on the terminal side of θ that is also on the circle x² + y² = r²
cosθ = __

cosθ = x/r

For an angle θ in standard position, let P = (x,y) be the point on the terminal side of θ that is also on the circle x² + y² = r²
tanθ = __

tanθ = y/x x =/= 0

For an angle θ in standard position, let P = (x,y) be the point on the terminal side of θ that is also on the circle x² + y² = r²
cscθ = __

cscθ = r/y y =/= 0

For an angle θ in standard position, let P = (x,y) be the point on the terminal side of θ that is also on the circle x² + y² = r²
secθ = __

secθ = r/x x =/= 0

For an angle θ in standard position, let P = (x,y) be the point on the terminal side of θ that is also on the circle x² + y² = r²
cotθ = __

cotθ = x/y y =/= 0