3.8-3.11 Review AB Precalc: Inverse, solve, graphing trig

Front

What are asymptotes?

Back

Asymptotes are lines that a graph approaches but never touches. For trigonometric functions, they often occur at specific values of x where the function is undefined.

Front

What is the solution set for the equation sin(x) = 0 on the interval [0, 2π)?

Back

The solution set is {0, π}.

Front

What is the value of sec(π)?

Back

sec(π) = -1.

Front

What is the period of the function y=5csc(2x+π)-6?

Back

The period is π.

Front

What is the phase shift of the function y=5csc(2x+π)-6?

Back

The phase shift is left π/2.

Front

Define the term 'period' in trigonometric functions.

Back

The period is the length of one complete cycle of the function.

Front

What is the general form of the sine function?

Back

The general form is y = A sin(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

How do you find the period of a cosecant function?

Back

The period of a cosecant function is found using the formula: Period = 2π / |B|, where B is the coefficient of x.

Front

What is the amplitude of the function y=5csc(2x+π)-6?

Back

Cosecant functions do not have an amplitude, but the vertical stretch factor is 5.

Front

What is the range of the cosecant function?

Back

The range of the cosecant function is (-∞, -1] ∪ [1, ∞).