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