Trigonometry Answers

Let tan x = 12 and cot y = 16. Which is cot x + tan y?

Which point is on the graph of f(x) = –3sin x + 14?

A. (1.5π, 8)
B. (1.5π,12)
C. (π, 14)
D. (π, 17)

Let (sin x)(cos x) = .35 and sin x + cos x = 1.30. Which is (csc x) + (sec x)?

Let tan tanx=2 . Which is cot x?

At what point the graph of f(x) = 2cos x – 1 intersects the x-axis?

Hi. This is the question:
A jet flew 140 mi on a course of 196 degrees and then 120 mi on a course of 106 degrees then the jet return to its starting point via the shortest route possible. Find the total distance that the jet traveled.
I found the answer for this. It's this one:
http://ph.answers.yahoo.com/question/index?qid=20110828043233AAVgQcy
Now I understand everything else, ut my problem is why they used the given angles to confirm that it is a right triangle? I know this has something to do with theorems on parallel lines, but I just can't to picture how. Illustrations are greatly appreciated. (It will actually be a lot easier for me to understand this question). Thank you.

Let sin x = .93 and cos y = .29. Which is x + y?

Let cos x = .28 and cos y = .74. Which is x – y?

A. cos^(–1).28 + cos^(–1).74
B. –cos^(–1).28 – cos^(–1).74
C. cos^(–1).28 – cos^(–1).74
D. –cos^(–1).28 + cos&(–1).74

Let sin m = .11. Which of the following is sin m/2?

A. 0.79
B. 0.78
C. 0.77
D. 0.05

Let sin m = .11. Which of the following is sin m/2?