Answer:
Step-by-step explanation:
Answer:
<u>Identities used:</u>
- <em>1/cosθ = secθ</em>
- <em>1/sinθ = cosecθ</em>
- <em>sinθ/cosθ = tanθ</em>
- <em>cosθ/sinθ = cotθ</em>
- <em>sin²θ + cos²θ = 1</em>
<h3>Question 1 </h3>
- (1 - sinθ)/(1 + sinθ) =
- (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
- (1 - sinθ)² / (1 - sin²θ) =
- (1 - sinθ)² / cos²θ
<u>Square root of it is:</u>
- (1 - sinθ)/ cosθ =
- 1/cosθ - sinθ / cosθ =
- secθ - tanθ
<h3>Question 2 </h3>
<u>The first part without root:</u>
- (1 + cosθ) / (1 - cosθ) =
- (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
- (1 + cosθ)² / (1 - cos²θ) =
- (1 + cosθ)² / sin²θ
<u>Its square root is:</u>
- (1 + cosθ) / sinθ =
- 1/sinθ + cosθ/sinθ =
- cosecθ + cotθ
<u>The second part without root:</u>
- (1 - cosθ) / (1 + cosθ) =
- (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
- (1 - cosθ)²/ (1 - cos²θ) =
- (1 - cosθ)²/sin²θ
<u>Its square root is:</u>
- (1 - cosθ) / sinθ =
- 1/sinθ - cosθ / sinθ =
- cosecθ - cotθ
<u>Sum of the results:</u>
- cosecθ + cotθ + cosecθ - cotθ =
- 2cosecθ
1. 6a + 2b
2. 9a + 4b
3. 12a + 6b
4. 15a + 8b
5. 18a + 10b
6. 21a + 12b
7. 24a + 14b
8. 27a + 16b
9. 30a + 18b
10. 33a + 20b
11. 36a + 22b
12. 39a + 24b
13. 42a + 26b
14. 45a + 28b
15. 48a + 30b
16. 51a + 32b
17. 54a + 34b
18. 57a + 36b
19. 60a + 38b
20. 63a + 40b
21. 66a + 42b
22. 69a + 44b
23. 71a + 46b
24. 74a + 48b
25. 77a + 50b
26. 80a + 52b
27. 83a + 54b
28. 86a + 56b
29. 89a + 58b
30. 91a + 60b
31. 94a + 62b
32. 97a + 64b
33. 100a + 66b
34. 103a + 68b
35. 109a + 70b
36. 112a + 72b
37. 115a + 74b
38. 118a + 76b
39. 121a + 78b
40. 124a + 80b
Basically, add 3 to every number in front of the a and 2 to every number in front of the b. Or just multiply.
Answer:
Y = 6
Step-by-step explanation:
i know this because if it tells me that X = 1 and it shows -x+7 then i know it will be 6. Have a Great Day!
Factor the expression:
-1/6*6(x-2y)
Divide by 6
-1(x-2y)
Then times by -1
-x+2y
Is your answer
Hope this helps
