trig

sin²+cos²

1

tan²+1

sec²

1+cot²

csc²

Coterminal angles

two angles with the same terminal side

complementary

adds up to 90º

supplementary

adds up to 180º

pythagorean theorem

c²=a²+b²

equation of a circle

(x-a)²+(y-b)²=r²

distance formula

r=√(x2-x1)²+(y2-y1)²

standard position

initial side is along the positive x-axis and vertex at the origin

angle of elevation

measured from the ground up

Angle of depression

measured from the sky down

reference angle in Q1

angle=refangle

reference angle in Q2

ref angle = 180º - angle

reference angle in Q3

ref angle= angle - 180

reference angle in Q4

ref angle = 360 - angle

degrees to radians

multiply by π/180°

Radian to Degree

multiply by 180°/π

arc length

s= angle x radius

area of sector

½ r²ø

sin x

cos (90-x)

even trig functions

cos, sec

period

2π/B

horizontal shift

-c/B

phase

c

range of inverse sin and tangent

-π/2 ≤y≤π/2

range of inverse of cos

0≤y≤π