Trig Function Equations

Equation for sector area in radians

A=1/2r²θ

Equation for sector area in degrees

A=θ/360*πr²

What is the domain of a cos function?

All real numbers

What is the domain of a sin function?

All real numbers

What are the side ratios of a 30-60-90 triangle?

The short leg is x, the long leg is x√3, and the hypotenuse is 2x.

Equation for arc length in radians

s=rθ

What is the reciprocal trig function of cos?

secant (sec)

Which trig functions are odd?

sine, cosecant, tangent, and cotangent

Equations for linear speed

v=s/t or v=rθ/t or v=rω

Equation to determine if a point is on the unit circle

x²+y²=1

Equation for arc length in degrees

θ/360*2πr

Equation for angular speed

ω=θ/t

What is the reciprocal trig function of sin?

Cosecant (csc)

What is the reciprocal trig function of tan?

Cotangent (cot)

What are the side ratios of a 45-45-90 triangle?

The legs are both x and the hypotenuse is x√2.

Which trig functions are even?

cosine and secant