Module 11 Honors Assignment

1. Use the circle below and explain what a radian is.

A radian is a unit of angle, defined as the ratio of the arc length to the radius of a circle.

2. How long is the arc subtended by an angle of radians on a circle with a radius of 12 cm?

3. Find the radian and degree measure of the angle between the point on the coordinate plane and the x-axis without the use of a calculator. Show and explain your work.

4. Find the exact value for each of the trigonometric ratio without a calculator.

a.	b.	c.
d.	e.	f.
g.	h.	i.

5. What is a trigonometric equation? Give an example.

6. What are some steps to solving trigonometric equations?

7. Recreate the Unit circle below. Label in both degree and radians and identify the points (cosx, sinx). Are there any patterns that will help you remember all the points?

8. Solve each of the following trigonometric equations and find all solutions in the interval .

a.	b.
c.	d.
e.	f.

9a. Write a trigonometric equation for which the solutions lie in quadrant I and II. Then solve the equation for .

b. Write a trigonometric equation for which the solutions lie in quadrants II and III. Solve the equation for .

c. Write a trigonometric equation for which the solutions lie in quadrants III and IV. Solve the equation for .

d. Write a trigonometric equation with solutions