Solving Trigonometric Equations — Unit test Answers

This question is designed to be answered without a calculator.Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal point (1, –6)?

This question is designed to be answered without a calculator.How many solutions does the equation (2 sin x + 1)(sin x – 1) = 0 have over the interval 0 ≤ x < 2π?

This question is designed to be answered without a calculator.A radioactive material has a half-life of 3 hours. If there are originally 10 milligrams of the radioactive material, how many milligrams will be left after 6 hours?

This question is designed to be answered without a calculator.In expanded form, is equivalent to

This question is designed to be answered without a calculator.At what value does the graph of y = 4 cot–1 (2x) intersect the y-axis?

This question is designed to be answered with a calculator.A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the value of the account to be $750?

This question is designed to be answered without a calculator.If e5x = k, where k is any positive number, then what is the value of x?

This question is designed to be answered without a calculator.The graph of f(x) = 10 – ln(6x – 12) has a vertical asymptote at x =

This question is designed to be answered without a calculator.If ln(2x – 2) = 2t – 2, what is the value of x?

This question is designed to be answered with a calculator.For how many values of x is the function discontinuous?

This question is designed to be answered without a calculator.Use the four functions shown.Which function is an even function?

This question is designed to be answered without a calculator.The function T = gives the average monthly temperature, T, in a city, where m represents the month. In which month is the average temperature the same as in m = 3?

This question is designed to be answered with a calculator.What is the range of the function ?

This question is designed to be answered without a calculator.Which table shows the domain and range of the function y = cos–1(4x)?

This question is designed to be answered without a calculator.Let θ be an angle in Quadrant I such that . What is the value of csc θ?

This question is designed to be answered without a calculator.If f(x) = x2 and , what is the domain of g(f(x))?

This question is designed to be answered with a calculator.Which are the solutions to the equation cos x = 0.9 over the interval 0 ≤ x ≤ π?

This question is designed to be answered without a calculator.What is the value of the y-intercept of the graph of f(x) = e1–x – 1?

This question is designed to be answered without a calculator.Let θ be an angle such that and tan θ > 0. Which table shows the values of sin θ and cos θ?

This question is designed to be answered with a calculator.Which expression best represents all solutions of x for the equation cot x = –1.25, where k is any integer?