How do I use the sine cosine and

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

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

5. 2 B a C Apply the Tangent Ratio Trigonometric Ratios c b A

5. 2 B a C Apply the Tangent Ratio Trigonometric Ratios c b A

5. 2 Apply the Tangent Ratio Let r. ABC be a right triangle with

5. 2 Apply the Tangent Ratio Let r. ABC be a right triangle with acute The tangent of (written as tan A) is defined as follows:

5. 2 Apply the Tangent Ratio Example 1 Find tangent ratios Find tan X

5. 2 Apply the Tangent Ratio Example 1 Find tangent ratios Find tan X and tan Y. Write each answer as a fraction and as a decimal rounded to four places. In the right triangle, r. XYZ, and are ________ complementary angles. You can see that the tangent ratios of the _________ angles are complementary reciprocals ______.

5. 2 Apply the Tangent Ratio Example 2 Find a leg length Find the

5. 2 Apply the Tangent Ratio Example 2 Find a leg length Find the value of x. Use the tangent of an acute angle to find a leg length. Write a ratio for tangent of 25 o. Substitute. Multiply each side by ____. Use a calculator to find tan 25 o. Simplify.

5. 2 Apply the Tangent Ratio Checkpoint. Complete the following exercises. 1. Find tan

5. 2 Apply the Tangent Ratio Checkpoint. Complete the following exercises. 1. Find tan A and tan B. Round your answer to four decimal places.

5. 2 Apply the Tangent Ratio Checkpoint. Complete the following exercises. 2. Find the

5. 2 Apply the Tangent Ratio Checkpoint. Complete the following exercises. 2. Find the value of x. Round to the nearest tenth.

5. 2 Apply the Tangent Ratio Example 3 Compare the tangent ratios for similar

5. 2 Apply the Tangent Ratio Example 3 Compare the tangent ratios for similar triangles Find tan X and tan Y for similar triangles. Then compare the tangent ratios. The values of tan X and tan Y for the similar triangles are equivalent ____.

5. 2 Apply the Tangent Ratio Example 4 Estimate height using tangent Find the

5. 2 Apply the Tangent Ratio Example 4 Estimate height using tangent Find the height h of the flagpole to the nearest foot. Write ratio for tangent of 70 o. Substitute. Multiply each side by ___. Use a calculator to simplify. 19 feet tall. The flagpole is about _____

5. 2 Apply the Tangent Ratio Checkpoint. Complete the following exercises. 3. Find the

5. 2 Apply the Tangent Ratio Checkpoint. Complete the following exercises. 3. Find the height h of the flagpole in Example 4 to the nearest foot if the angle is 75 o.

5. 2 Apply the Tangent Ratio Pg. 173, 5. 2 #1 -25

5. 2 Apply the Tangent Ratio Pg. 173, 5. 2 #1 -25

5. 3 Apply the Sine and Cosine Ratios Pg. 218, 6. 4 #1 -32

5. 3 Apply the Sine and Cosine Ratios Pg. 218, 6. 4 #1 -32

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