Use your calculator to find each trigonometric ratio. Round to the nearest hundredth. 9. sin 42° 10. cos 89° 11. tan 55° 12. sin 6° Find each length. Round to the nearest hundredth. 13. DE 14. FH 10 in. 31 18 m 27 15. JK 16. US 34.6 mm 22.5 cm 66 18

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.2: Trigonometry Of Right Triangles
Problem 72E
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Name
Date
Class
LESSON Reteach
8-2
Trigonometric Ratios continued
You can use a calculator to find the value of trigonometric ratios.
cos 38° = 0.7880107536 or about 0.79
You can use trigonometric ratios to find side lengths of triangles.
Find WY.
cos W = adjacent leg
hypotenuse
Write a trigonometric ratio that involves WY.
7.5 cm
7.5 cm
cos 39° =
WY
Substitute the given values.
39
7.5
WY =
Solve for WY.
cos 39°
WY = 9.65 cm
Simplify the expression.
Use your calculator to find each trigonometric ratio. Round to the
nearest hundredth.
9. sin 42°
10. cos 89°
11. tan 55°
12. sin 6°
Find each length. Round to the nearest hundredth.
13. DE
14. FH
10 in.
Dr
31
18 m
27
E
15. JK
16. US
34.6 mm
22.5 cm
66
18
K
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Transcribed Image Text:Name Date Class LESSON Reteach 8-2 Trigonometric Ratios continued You can use a calculator to find the value of trigonometric ratios. cos 38° = 0.7880107536 or about 0.79 You can use trigonometric ratios to find side lengths of triangles. Find WY. cos W = adjacent leg hypotenuse Write a trigonometric ratio that involves WY. 7.5 cm 7.5 cm cos 39° = WY Substitute the given values. 39 7.5 WY = Solve for WY. cos 39° WY = 9.65 cm Simplify the expression. Use your calculator to find each trigonometric ratio. Round to the nearest hundredth. 9. sin 42° 10. cos 89° 11. tan 55° 12. sin 6° Find each length. Round to the nearest hundredth. 13. DE 14. FH 10 in. Dr 31 18 m 27 E 15. JK 16. US 34.6 mm 22.5 cm 66 18 K Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry
Name
Date
Class
LESSON Reteach
8-2
Trigonometric Ratios
Trigonometric Ratios
leg opposite ZA_ 4
= 0.8
hypotenuse
leg opposite ZA
sin A =
%3D
hypotenuse
5.
leg adjacent to ZA 3
hypotenuse
leg opposite ZA
leg adjacent to ZA
cos A =
= 0.6
4
=1.33
3
tan A =
%3D
leg adjacent to ZA
You can use special right triangles to write trigonometric ratios as fractions.
sin 45° = sin Q = leg opposite ZQ
hypotenuse
60
1
45
2x
%3D
xv2 v2
30
xV3
/45°
%3D
2
So sin 45° =
2
Write each trigonometric ratio as a fraction and as a decimal
rounded to the nearest hundredth.
17
8
1. sin K
2. cos H
15
3. cos K
4. tan H
Use a special right triangle to write each trigonometric ratio as a
fraction.
5. cos 45°
6. tan 45°
7. sin 60°
8. tan 30°
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
8-14
Holt McDougal Geometry
Transcribed Image Text:Name Date Class LESSON Reteach 8-2 Trigonometric Ratios Trigonometric Ratios leg opposite ZA_ 4 = 0.8 hypotenuse leg opposite ZA sin A = %3D hypotenuse 5. leg adjacent to ZA 3 hypotenuse leg opposite ZA leg adjacent to ZA cos A = = 0.6 4 =1.33 3 tan A = %3D leg adjacent to ZA You can use special right triangles to write trigonometric ratios as fractions. sin 45° = sin Q = leg opposite ZQ hypotenuse 60 1 45 2x %3D xv2 v2 30 xV3 /45° %3D 2 So sin 45° = 2 Write each trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. 17 8 1. sin K 2. cos H 15 3. cos K 4. tan H Use a special right triangle to write each trigonometric ratio as a fraction. 5. cos 45° 6. tan 45° 7. sin 60° 8. tan 30° Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 8-14 Holt McDougal Geometry
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