Sinusoidal Functions
What is the period of the function y = sin(2x)?
π
What are the three reciprocal trig functions?
Secant, Cosecant, and Cotangent
Solve for x: arcsin(1/2) = x
x = π/6
What is the amplitude of the function y = 3cos(x)?
3
What is the value of csc(π/2)?
x = 1
If arccos(θ) = -1/2, what is the value of θ?
θ = 2π/3
What is the phase shift of the function y = sin(x - π/2)?
π/2 to the right
If csc(θ) = -2, what is the value of sin(θ)?
What is sin(θ) = -1/2?
Which inverse trig function's range is restricted to [-π/2, π/2]?
arcsin
What is the vertical shift of the function y = cos(x) + 2?
Up 2
If sec(1/2) = x, what is the value of x?
x = π
What is the value of arctan(1)?
π/4
The graph of y = a cos(b x + c) + d is shifted 1 unit to the right and 2 units up. What are the new values of c and d?
c = π/2, d = 2
If sin x = -√3/2, then what is the value of x over the interval [0,2π]?
x = 4π/3, 5π/3
What is the derivative of y = arccos(cos x)?
sinx/|sinx|