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5.3 Apply the SINE and COSINE ratios 5.1, 5.3 HW Quiz: Wednesday 5.1-5.3 Quiz: Friday Midterm: Oct. 6.

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Presentation on theme: "5.3 Apply the SINE and COSINE ratios 5.1, 5.3 HW Quiz: Wednesday 5.1-5.3 Quiz: Friday Midterm: Oct. 6."— Presentation transcript:

1 5.3 Apply the SINE and COSINE ratios 5.1, 5.3 HW Quiz: Wednesday Quiz: Friday Midterm: Oct. 6

2 Sine and Cosine Ratios  Are trigonometric ratios for acute angles that involve the lengths of a leg and the hypotenuse of a right triangle. Acute angles measure less than 90 o

3 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: A B C

4 Sine and Cosine Ratios OPPOSITE HYPOTENUSE ADJACENT HYPOTENUSE

5 Find SINE ratios  Find sinX and sinY. Write each answer as a fraction and as a decimal rounded to four places (the ten-thousandth place)

6 Find COSINE ratios  Find cosX and cosY. Write each answer as a fraction and as a decimal rounded to four places.

7 Extra Practice  Find sinA and sinB.

8 Extra Practice  Find cosA and cosB.

9 Find side lengths using SINE and COSINE  Find x. Round to the nearest tenth.

10 Extra Practice  Find the value of x. Round to the nearest tenth.

11 Homework  P #1-12, 15-17, 21-26


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