Tim
Marley
TROY HIGH SCHOOL,
TROY,
MI

12th Grade Math :
Unit #5 - Trigonometric Relationships :
Lesson #15

Objective:
SWBAT use trigonometric identities and properties to solve a variety of problems.

1 Unit Assessment -
55 minutes

Here are some sample problems that you may choose to use for the assessment of this unit:

Trigonometric Relationships Exam Problems

While these problems all may look straightforward, there are many, many layers to each problem as students must keep in mind a lot of the knowledge that we have learned throughout this unit and the previous one.

For question #5, I ask students why the plus or minus symbol is an essential part of the cosine half angle formula. I want them to understand that this formula is derived from the double angle formula and that since there is a squared term, when we take the square root of both sides we get plus or minus. Also, I want students to understand that the sign (plus or minus) of their answer when using the formula depends on the quadrant. For example, if x is 300 degrees and use the half angle formula, we get cosine of 150 degrees. Since 150 degrees is in quadrant II, the cosine value would be negative.

resources

Exam - Trigonometric Relationships.docx

https://betterlesson.com/lesson/resource/2541856/exam-trigonometric-relationships-docx