Angles and Trigonometric Functions Answers

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Which expression is equal to –1?

Which expression has the same value as tan(–45°)?

What is the solution of ?

How many degrees is radians?

Let csc(x) = , where 0° < x < 90°. Which expression has a value of ?

Which angle has a terminal side in quadrant III?

Which angle is coterminal to radians?

What is the minimum value of the graph of y = cos(x)?

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

What is the solution of log2 (3x - 7) = 3?

What is the value of ?

What is the solution to (x – 3)3(x + 1)(x – 2) ≤ 0?

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?

Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his overall percentage from 60% to at least 70%?

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.

How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

The height of a plant over time is shown in the table below. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall?Plant Heightt, time in monthsh, height in inches118218.21318.33418.42518.48618.54