How do I use the sine cosine and

5. 3 B a C Apply the Sine and Cosine Ratios Trigonometric Ratios c

5. 3 Apply the Sine and Cosine Ratios Let r. ABC be a right

5. 3 Apply the Sine and Cosine Ratios Example 1 Find sine ratios Find

5. 3 Apply the Sine and Cosine Ratios Example 2 Find cosine ratios Find

5. 3 Apply the Sine and Cosine Ratios Checkpoint. Find the indicated measure. Round

5. 3 Apply the Sine and Cosine Ratios Example 3 Use trigonometric ratios to

5. 3 Apply the Sine and Cosine Ratios Example 4 Sine and cosine ratios

5. 3 Apply the Sine and Cosine Ratios Example 5 Use trigonometric ratios to

5. 3 Apply the Sine and Cosine Ratios Checkpoint. Complete the following exercises. 3.

5. 3 Apply the Sine and Cosine Ratios Checkpoint. Complete the following exercises. 4.

5. 3 Apply the Sine and Cosine Ratios Pg. 180, 5. 3 #1 -19

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• How do I use the sine, cosine, and tangent ratios to solve triangles?

5. 3 B a C Apply the Sine and Cosine Ratios Trigonometric Ratios c b A

5. 3 Apply the Sine and Cosine Ratios Let r. ABC be a right triangle with acute The sine of and cosine of (written sin A and cos A) is defined as follows:

5. 3 Apply the Sine and Cosine Ratios Example 1 Find sine ratios Find sin X and sin Y. Write each answer as a fraction and as a decimal rounded to four places.

5. 3 Apply the Sine and Cosine Ratios Example 2 Find cosine ratios Find cos X and cos Y. Write each answer as a fraction and as a decimal rounded to four places.

5. 3 Apply the Sine and Cosine Ratios Checkpoint. Find the indicated measure. Round to 4 decimal places, if necessary. 1. Find sin A and sin B. 2. Find cos A and cos B.

5. 3 Apply the Sine and Cosine Ratios Example 3 Use trigonometric ratios to find side lengths Use a trigonometric ratio to find the value of x in the diagram. Round to the nearest tenth.

5. 3 Apply the Sine and Cosine Ratios Example 4 Sine and cosine ratios for similar triangles Find the sine and cosine of and of the similar triangles. Then compare the ratios.

5. 3 Apply the Sine and Cosine Ratios Example 4 Sine and cosine ratios for similar triangles Find the sine and cosine of and of the similar triangles. Then compare the ratios. complementary In r. XYZ, and are ________ Y and sin Y = cos ___. X angles, so sin X = cos ___ complementary In r. LMN, and are ________ M and sin M = cos ___. L angles, so sin L = cos ___ similar triangles, Because r. XYZ and r. LMN are _______ L cos X = cos ___, M and L sin Y = sin ___, sin X = sin ___, cos Y = cos ___. M

5. 3 Apply the Sine and Cosine Ratios Example 5 Use trigonometric ratios to find side lengths Find the height of the parking ramp shown.

5. 3 Apply the Sine and Cosine Ratios Checkpoint. Complete the following exercises. 3. Find the value of x. Round to the nearest tenth.

5. 3 Apply the Sine and Cosine Ratios Checkpoint. Complete the following exercises. 4. Find the value of y. Round to the nearest tenth.

5. 3 Apply the Sine and Cosine Ratios Pg. 180, 5. 3 #1 -19