- #1
wei1006
- 6
- 0
1) Problem: given that x is an obtuse angle for which cos^2x/(1 + 5sin^2x) = 8/35, find the value of cosx/(1 - 5 sin x) without evaluating x.
2) Relevent equations:
sin(-x) = - sin x
cos(-x) = cos x
sin(180° - x) = sin x
cos(180° - x) = - cos x
sin^2x + cos^2x = 1
3) Attempt:
cos^2x/(1 + 5sin^2x) = 8/35
35cos^2x = 8 + 40sin^2x
Actually I am clueless on how to tackle this problem, as in what should I be even doing to get to the answer.
Please help, thank you!
2) Relevent equations:
sin(-x) = - sin x
cos(-x) = cos x
sin(180° - x) = sin x
cos(180° - x) = - cos x
sin^2x + cos^2x = 1
3) Attempt:
cos^2x/(1 + 5sin^2x) = 8/35
35cos^2x = 8 + 40sin^2x
Actually I am clueless on how to tackle this problem, as in what should I be even doing to get to the answer.
Please help, thank you!