1 / 4

Use the triangle to find sin T , cos T , sin G , and cos G . Write your answer in simplest terms.

opposite hypotenuse. 12 20. 3 5. sin T =. =. =. adjacent hypotenuse. 16 20. 4 5. cos T =. =. =. opposite hypotenuse. 16 20. 4 5. sin G =. =. =. adjacent hypotenuse. 12 20. 3 5. cos G =. =. =. Sine and Cosine Ratios. LESSON 8-4.

abedi
Download Presentation

Use the triangle to find sin T , cos T , sin G , and cos G . Write your answer in simplest terms.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. opposite hypotenuse 12 20 3 5 sin T = = = adjacent hypotenuse 16 20 4 5 cos T = = = opposite hypotenuse 16 20 4 5 sin G = = = adjacent hypotenuse 12 20 3 5 cos G = = = Sine and Cosine Ratios LESSON 8-4 Additional Examples Use the triangle to find sin T, cos T, sin G, and cos G. Write your answer in simplest terms. Quick Check

  2. Use the cosine ratio. height = 20 • cos 35° Solve for height. height 20 cos 35° = Use a calculator. 20 35 Sine and Cosine Ratios LESSON 8-4 Additional Examples A 20-ft. wire supporting a flagpole forms a 35˚ angle with the flagpole. To the nearest foot, how high is the flagpole? The flagpole, wire, and ground form a right triangle with the wire as the hypotenuse. Because you know an angle and the measures of its adjacent side and the hypotenuse, you can use the cosine ratio to find the height of the flagpole. Quick Check The flagpole is about 16 ft tall.

  3. Draw a diagram using the information given. Use the inverse of the cosine function to find m A. 1.5 4.0 cos A = = 0.375 Use the cosine ratio. Use the inverse of the cosine. m A = cos–1(0.375) Use a calculator. Round to the nearest degree. 0.375 m A 68 Sine and Cosine Ratios LESSON 8-4 Additional Examples A right triangle has a leg 1.5 units long and hypotenuse 4.0 units long. Find the measures of its acute angles to the nearest degree.

  4. To find m B, use the fact that the acute angles of a right triangle are complementary. m A + m B = 90 Definition of complementary angles 68 + m B 90 Substitute. mB 22 Sine and Cosine Ratios LESSON 8-4 Additional Examples (continued) The acute angles, rounded to the nearest degree, measure 68 and 22. Quick Check

More Related