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5.2 and 5.3 Apply the sine, cosine and tangent ratios

5.2 and 5.3 Apply the sine, cosine and tangent ratios. HW Quiz: Wednesday 5.1-5.4 Quiz: Friday! Special Triangles Test: Aug. 27. Complementary Angles. Two angles are complementary angles if the sum of their measures is 90 o. Trigonometry.

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5.2 and 5.3 Apply the sine, cosine and tangent ratios

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  1. 5.2 and 5.3Apply the sine, cosine and tangent ratios HW Quiz: Wednesday 5.1-5.4 Quiz: Friday! Special Triangles Test: Aug. 27

  2. Complementary Angles • Two angles are complementary angles if the sum of their measures is 90o

  3. Trigonometry • Is a branch of mathematics that deals with the relationships between the sides and angles of triangles and the calculations based on these relationships. • A trigonometric ratio: • Is a ratio of the lengths of two sides in a right triangle.

  4. B C A Sine and Cosine Ratios • Let ΔABC be a right triangle with acuteA. The sine of A and cosine of A (written as sinA and cosA) are defined as follows:

  5. Tangent Ratio • Let ΔABC be a right triangle with acuteA. The tangent of A (written as tanA) is defined as follows: B C A

  6. Example 1: • Find the sine, cosine, and tangent ratio for x and y.

  7. Example 2: • Find the height h of the lamppost to the nearest inch.

  8. Example 3: • Find the value of x. Round to the nearest tenth.

  9. Example 4: • Find the height and length of the base of the ramp shown.

  10. Example 5: • Find the value of x. Round to the nearest tenth.

  11. Homework:

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