Respuesta :
HI!!! I just finished the unit 7 lesson 11 unit test!! Here are the answers: :)
1. A: 2
2. C: 225
3. C: pi/4
4. A: -465
5. C: 0
6. B: 210
7. B: 2pi
8. A: 52
9. C: 40
10. C: 3rd graph
11. A: y=sin pi/265
12. B: 1/4pi
13. D: y=3cos2
14. A: sqrt3/3
15. C: 0
16. C: 3rd graph
17. A: 187
18. C: sqrt2/2
19. B: 1+sin theta
20. D: 45
21. D: 0.64
22. A:80
23. C: pi/2, 5pi/4, 3pi/2, 7pi/4
24. C: csc theta =13/12, sec theta= 13/5
hope this helps someone :)))
The value of Θ is 150.
What is Trigonometry?
- It gives the relationship between the angles and the sides of the right angle triangle.
- The relationship can be obtained by the trigonometric functions like sine, cosine, tangent, cotangent, secant and cosecant.
Given: sin Θ = 1/2
let, theta = Θ
Now, we have to find for which value of Θ the value of sin Θ is not 1/2.
Option (A): Θ = 30
⇒ sin (30) = 1/2
⇒ sin Θ = 1/2
Hence, this option is incorrect.
Option (B): Θ = 210
⇒ sin 210 = -1/2
⇒ sin 210 ≠ 1/2
⇒ sin Θ ≠ 1/2
Hence, this option is correct.
Option (C): Θ = 150
⇒ sin 150 = 1/2
⇒ sin Θ = 1/2
Hence, this option is incorrect.
Option (D): Θ = 390
⇒ sin (390) = 1/2
⇒ sin Θ = 1/2
Hence, this option is incorrect.
Therefore, the value of Θ for which sin Θ ≠ 1/2 is Θ = 150.
(B) is the only correct option.
Learn more about the Trigonometry here: https://brainly.com/question/13882775
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