Trig Review

Front

What is the secant function?

Back

The secant function, denoted as sec(x), is the reciprocal of the cosine function: sec(x) = 1/cos(x).

Front

What is the value of sec(π)?

Back

sec(π) = -1.

Front

How do you solve the equation 1 = 5 - 8cos(θ) for 0 ≤ θ < 2π?

Back

Rearranging gives cos(θ) = 1/4. The solutions are θ = π/3 and θ = 5π/3.

Front

What is the cosine of 5π/3?

Back

cos(5π/3) = 1/2.

Front

What is the tangent function?

Back

The tangent function, denoted as tan(x), is the ratio of the sine and cosine functions: tan(x) = sin(x)/cos(x).

Front

Find the exact value of tan(7π/6).

Back

tan(7π/6) = -√3/3.

Front

What is the amplitude of a sine function?

Back

The amplitude of a sine function is the maximum distance from the midline of the graph to its peak. It is the coefficient in front of the sine function.

Front

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

Back

y = 6sin(8x).

Front

What is the period of a sine function?

Back

The period of a sine function is the distance along the x-axis for one complete cycle of the wave. It is calculated as 2π divided by the coefficient of x.

Front

How do you find the period of y = 6sin(kx)?

Back

The period is given by T = 2π/k.