This lesson has four objectives:
1. Rationale for radian measure
2. Definition of radian measure
3. Finding arc length and radius from the definition of radian measure
4. Converting between degrees and radians.
Solutions to Worksheet 1
This lesson has three objectives:
1. Angles in Standard Position
2. Definition of Sine and Cosine in the Coordinate Plane
3. The Unit Circle
Lesson 2 - Worksheet Review
This lesson has two objectives.
1. Deriving the Pythagorean Identity.
2. Using the Pythagorean Identity to find sine or cosine values.
Lesson 3 - Worksheet Review
This lesson has two objectives:
1. Establishing the even/odd and co-function identities.
2. Using the Pythagorean Identity to prove other trigonometric identities and to simplify trigonometric expressions.
Lesson 4 - Worksheet Review
This lesson has four objectives:
1. Applying the idea of a function to trigonometric functions
2. Revisiting the unit circle to sketch the parent sine and cosine curves.
3. Establishing features of trigonometric curves such as period and amplitude.
4. Applying transformations towards sketching graphs of sine and cosine curves.
Lesson 5 - Worksheet Review
This lesson has three objectives:
1. Defining the tangent and cotangent values in the coordinate plane.
2. Finding cotangent and tangent values.
3. Sketching tangent and cotangent curves.
Lesson 6 - Worksheet Review
This lesson has four objectives:
1. Definition of secant and cosecant functions.
2. Finding secant and cosecant values.
3. Sketching graphs of secant and cosecant functions.
4. Proving identities and simplifying expressions.
Lesson 7 - Worksheet Review
This lesson establishes and uses the relationship between the angle of inclination of a line and the slope of that line through the tangent function.
Lesson 8 - Worksheet Review
In this lesson, we are going to derive and use the addition formulas for sine and cosine.
Lesson 9 - Worksheet Review
In this lesson, we derive the half-angle and double angle formulas and use them to evaluate trigonometric values, simplify trigonometric expressions and prove trigonometric identities.
Lesson 10 - Worksheet Review
In this lesson, we find trigonometric values in a right triangle, and use given trigonometric ratios to solve a right triangle. We also look at a real-life application regarding angles of elevation and depression.
Lesson 11 - Worksheet Review
In this lesson, we derive and use the area formula with the sine ratio. We also look at Heron's formula for the area of a triangle.
Lesson 12 - Worksheet Review
In this lesson, we derive and use the law of cosines and the law of sines. We also cover the ambiguous case of the law of sines.
Lesson 13 - Worksheet Review
In this last lesson for the trigonometry unit, we will look at applications of trigonometry in real life. We will solve examples regarding the length of a diagonal in a parallelogram, angles of elevation and depression, distance and bearing.
Please put your trigonometry knowledge to the test by completing the unit test in the Resources section.
Lesson 14 - Worksheet Review
This test is timed at 70 minutes. Solutions are uploaded under Resources.
