If sin x = - 5 (Matching problem) Answer: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. ✓sin (2x) cos (x) V ✓cos (2 y) ✓tan (x) 20 29 23 25 1 √24 5+2√/24 5√24-2 √24 5 2 √29 and tan y = 483+40 24 725 21 29 5 29 2-√24 25 2 where a and y are in the interval [π/2, 3π/2], What are the exact values of the following trigonometric ratios? 5 ✓cos (2 x - 2y) tan (x + y) V ✓sin (y) cos (y) sin (2 y) cos (2x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Question
If sin x = − // and tan y
=
(Matching problem)
Answer:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
✓sin (2x)
✓ cos (x)
✓tan (x)
20
29
23
25
cos (2 y)
1
√24
5+2√24
5√24-2
√24
5
2
√29
483+40 24
725
5
√29
21
29
2-√24
25
25
where x and y are in the interval [T/2, 3π/2], What are the exact values of the following trigonometric ratios?
✓cos (2 x - 2 y)
✓tan (x + y)
✓sin (y)
cos (y)
✓sin (2 y)
✓cos (2x)
Transcribed Image Text:If sin x = − // and tan y = (Matching problem) Answer: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. ✓sin (2x) ✓ cos (x) ✓tan (x) 20 29 23 25 cos (2 y) 1 √24 5+2√24 5√24-2 √24 5 2 √29 483+40 24 725 5 √29 21 29 2-√24 25 25 where x and y are in the interval [T/2, 3π/2], What are the exact values of the following trigonometric ratios? ✓cos (2 x - 2 y) ✓tan (x + y) ✓sin (y) cos (y) ✓sin (2 y) ✓cos (2x)
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