SOLUTION: This is proving a trigonemetric function. Verify (1+sec(-x))/(sin(-x)+tan(-x)=-csc(x) So far I have: (1-(1/cos(x)))/(-sin(x)-(sin(x)/cos(x))= -1/sin I think the numerator

Question 307340: This is proving a trigonemetric function.
Verify (1+sec(-x))/(sin(-x)+tan(-x)=-csc(x)
So far I have: (1-(1/cos(x)))/(-sin(x)-(sin(x)/cos(x))= -1/sin
I think the numerator might equal sin(x) but I'm not too sure and the denomintator confuses me. Please help.
Thanks!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
This is proving a trigonemetric function.
Verify (1+sec(-x))/(sin(-x)+tan(-x)=-csc(x)
-csc(x) = csc(-x), so
All angles are -x
-------------------
1+sec = csc*(sin + tan) = 1 + (1/sin)(sin/cos)
1+sec = 1 + 1/cos
1+sec = 1+sec

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