Trigonometry packet Geometry honors

Hertel/Williams/Lambert

Trigonometry packet Geometry honors

Table of contents:

Day 1: Basic Trigonometry Review SWBAT: 1) Explore and use Trigonometric Ratios to find missing lengths of triangles, and 2) Use trigonometric ratios and inverse trigonometric relations to find missing angles.

Day 2: Trig Review and Co-Functions SWBAT: 1) Solve problems involving angle of elevation/depression, and 2) Express sine and cosine in terms of its CoFunction.

Day 3: Using Trigonometry to Determine Area SWBAT: Derive the formula for calculating the Area of a Triangle when the height is not known.

Day 4: Law of Sines SWBAT: Find the missing side lengths of an acute triangle given one side length and the measures of two angles.

Day 5: Law of Cosines SWBAT: Find the missing side lengths of an acute triangle given two side lengths and the measure of the included angle.

Day 6: Review

Day 7: TEST

SWBAT: 1) Explore and use Trigonometric Ratios to find missing lengths of triangles, and 2) Use trigonometric ratios and inverse trigonometric relations to find missing angles.

Day 1

Basic Trigonometry Review

Warm Up: Review the basic Trig Rules below and complete the example below:

Basic Trigonometry Rules:

These formulas ONLY work in a right triangle. The hypotenuse is across from the right angle. Questions usually ask for an answer to the nearest units. You need a scientific or graphing calculator.

Example:

SWBAT: 1) Explore and use Trigonometric Ratios to find missing lengths of triangles, and 2) Use trigonometric ratios and inverse trigonometric relations to find missing angles.

Example 1:

Practice: 1.)

SWBAT: 1) Explore and use Trigonometric Ratios to find missing lengths of triangles, and 2) Use trigonometric ratios and inverse trigonometric relations to find missing angles.

2.)

Example 2:

Example 3: Inverse Trigonometric Relations to find Missing Angles.

SWBAT: 1) Explore and use Trigonometric Ratios to find missing lengths of triangles, and 2) Use trigonometric ratios and inverse trigonometric relations to find missing angles.

Practice: 3.)

4.)

5.)

SWBAT: 1) Explore and use Trigonometric Ratios to find missing lengths of triangles, and 2) Use trigonometric ratios and inverse trigonometric relations to find missing angles.

Exit Ticket:

Summary:

SWBAT: 1) Explore and use Trigonometric Ratios to find missing lengths of triangles, and 2) Use trigonometric ratios and inverse trigonometric relations to find missing angles.

Day 1 Homework:

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