For questions 6 – 9 prove the following trigonometric identities.
6. sec ? / tan ? = csc ?
(you need to do the calculation and reason plz so I know what to do.)
7. (sec x + tan x)((1 – sin x) / cos x) = 1
8. 2 / (?3 cos x + sin x) = sec((? / 6) - x)
9. Prove tan(? / 2) = sin ? / (1 + cos ?) for ? in quadrant 1 by filling in the reasons below.
Calculation: Reason:
For questions 10 – 14 solve the following equations:
10. sin^2 x = -2cos x
Answer:
11. 2sin(2x) – 2sin x + 2?3cos x - ?3 = 0
Answer:
12. csc(4x) – 2 = 0
Answer:
13. cos^2(2x) – sin^2(2x) = 0
Answer:
14. sin(2x) = sin x
Answer:
6. sec ? / tan ? = csc ?
(you need to do the calculation and reason plz so I know what to do.)
7. (sec x + tan x)((1 – sin x) / cos x) = 1
8. 2 / (?3 cos x + sin x) = sec((? / 6) - x)
9. Prove tan(? / 2) = sin ? / (1 + cos ?) for ? in quadrant 1 by filling in the reasons below.
Calculation: Reason:
For questions 10 – 14 solve the following equations:
10. sin^2 x = -2cos x
Answer:
11. 2sin(2x) – 2sin x + 2?3cos x - ?3 = 0
Answer:
12. csc(4x) – 2 = 0
Answer:
13. cos^2(2x) – sin^2(2x) = 0
Answer:
14. sin(2x) = sin x
Answer: