Download presentation

Presentation is loading. Please wait.

Published byAshley Carmella Henry Modified over 9 years ago

1
EXAMPLE 1 Finding Trigonometric Ratios For PQR, write the sine, cosine, and tangent ratios for P. SOLUTION For P, the length of the opposite side is 5 feet, and the length of the adjacent side is 12 feet. The length of the hypotenuse is 13 feet.

2
EXAMPLE 1 Finding Trigonometric Ratios sin P = hypotenuse opposite = 5 13 cos P hypotenuse adjacent = 12 13 = tan P adjacent opposite = = 5 12

3
EXAMPLE 2 Using a Calculator Use a calculator to find sine, cosine, and tangent of 30. ANSWER sin 30 0.5 = cos 30 0.8660 tan 30 0.5774 Display Keystrokes a. c. b.

4
GUIDED PRACTICE for Examples 1 and 2 sin A = hypotenuse opposite = 8 17 cos A hypotenuse adjacent = 15 17 = tan A adjacent opposite = = 8 15 1. For ABC, write the sine, cosine, and tangent ratios for A and C. Which ratio has a value greater than 1 ?

5
GUIDED PRACTICE for Examples 1 and 2 cos C = hypotenuse opposite = 8 17 tan C adjacent opposite = = 15 8 Tan c has a value greater than to 1 sin C = hypotenuse opposite = 15 17

6
GUIDED PRACTICE for Examples 1 and 2 2. Draw a 45 o –45 o –90 o triangle. Label the legs 2 ft and the hypotenuse appropriately. Write the sine, cosine, and tangent ratios for one of the 45 o angles. Does it make a difference which 45 o angle you choose? Explain. ANSWER

7
GUIDED PRACTICE for Examples 1 and 2 cos A = hypotenuse opposite = 1 2 tan A adjacent opposite = = 1 1 sin A = hypotenuse opposite = 1 2 It does not make a difference because the opposite and adjacent values are the same.

8
GUIDED PRACTICE for Examples 1 and 2 Use a calculator to approximate the expression. Round your answer to four decimal places. cos 75 o 3. ANSWER 0.3420 tan 50 o 4. ANSWER 1.1918

9
GUIDED PRACTICE for Examples 1 and 2 Use a calculator to approximate the expression. Round your answer to four decimal places. sin 25 o 5. ANSWER 0.4226 tan 7 o 6. ANSWER 0.1228

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google