Honors Geometry Companion Book, Volume 2

8.1.2 Trigonometric Ratios - Worksheet

Example 1: Write each trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. 1. sin C 2. tan A 3. cos A A

5

4

4. cos C

5. tan C

6. sin A

B

C

3

Example 2: Use a special right triangle to write each trigonometric ratio as a fraction. 7. cos 60 ° 8. tan 30º 9. sin 45 ° Example 3: Use your calculator to find each trigonometric ratio. Round to the nearest hundredth. 10. tan 67º 11. sin 23 ° 12. sin 49 ° 13. cos 88º 14. cos 12º 15. tan 9º Example 4: Find each length. Round to the nearest hundredth. 16. BC C 17. QR P 18. KL J

K

4 in.

50°

2.5 cm 61°

8.1 m

23°

B

A

L

R

Q

Example 5: 19. A pediment has a pitch of 15º, as shown. If the width of the pediment, WZ , is 56 ft, what is XY to the nearest inch?

X

15°

W

Z

Y

66

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