1. Warm – up Find the sine, cosine and tangent of angle c.

2. Solving Right Triangles Section 5.4

3. Standards MM2G2. Students will define and apply sine, cosine, and tangent ratios to right triangles. Discover the relationship of the trigonometric ratios for similar triangles. Explain the relationship between the trigonometric ratios of complementary angles. Solve application problems using the trigonometric ratios.

4. Essential Question How do I solve a right triangle?

5. Vocabulary Solve a right triangle – to determine the measures of all six parts (3 angles, 3 sides).

6. Inverse Trig Ratios We use the inverse sine, inverse cosine, and inverse tangent if we are trying to find angle measures. The calculator buttons look like this: sin -1 cos -1 tan -1

7. Example 1 Find the acute angles of the triangle. Round to the nearest tenth.

8. Try This! Find the acute angles of the triangle. Round to the nearest tenth.

9. Example 2 Solve the right triangle.

10. Try This! Solve the right triangle.

11. Summarizer What is the minimum amount of information needed to solve a right triangle? 2 side lengths or… 1 side length and 1 acute angle measure

12. Homework Pages 174 – 175 Numbers 2 – 26 even