Exam 8: Trigonometric Functions

State the midline and amplitude of the function

The inequalities and describe the region below. Round the last 2 answers to 3 decimal places, and be sure both are between 0 and .

What is the horizontal shift of ? Round to 2 decimal places.

Without a calculator, find the exact value of . If it is undefined, enter "undefined".

Using the identity find an angle such that .

Find all solutions to on the interval . Give your answers correct to 3 decimal places.

Use de Moivre's formula to evaluate . Round your answer to 3 decimal places.

Which is larger: or ?

Find the sign of the following: a) b)

Find all solutions to for Give answers correct to 3 decimal places.

Without a calculator, find the exact value of . If it is undefined, enter "undefined".

Find the square root of and give your answer in Cartesian form. Choose the root that lies in the second quadrant. Round your answer to 3 decimal places.

An ant starts at the point (-1,0) and walks 2.1 units around the unit circle in a clockwise direction. Find the x and y coordinates (accurate to 2 decimal places) of the final local of the ant.

Which of the following are x-intercepts of the function ?

What is the reference angle for

In polar form, the complex number is written , where r = _____ and = _____. Round both answers to 2 decimal places, and give so that .

The origin is at the center of a clock, with the positive x-axis going through 3 and the positive y-axis going through 12. The hour hand is 9 cm long and the minute hand is 11 cm long. The Cartesian coordinates of the minute hand at 11:00 pm are ( _____, _____ ). Round both answers to 2 decimal places.

Which of the following are periodic functions?

Consider the function . What happens to the graph of as ?