Math Analysis - Trigonometric Identities

csc

1/sin

sec

1/cos

cot

1/tan or cos/sin

tan

sin/cos

cos(-t) / sec(-t)

cos(t) / sec(t)

sin(-t) / csc(-t)

-sin(t) / -csc(t)

tan(-t) / cot(-t)

-tan(t) / -cot(t)

sin^2(x) + cos^2(x)

1

tan²x+1

sec²x

cot²x+1

csc²x

area of circle

πr²

circumference of a circle

2πr

arc length

s/2πr = theta/360 degrees

area of a sector

A/πr² = theta/360 degrees

45-45-90

hyp = square root 2 * leg

30-60-90

long leg = square root 3*short leg

hyp = 2*short leg

degrees → radians

theta(π)/180

radians → degrees

radians(180)/π

sin(2theta)

2sin(theta)cos(theta)

cos(2theta)

cos²(theta)-sin²(theta)