SOLUTION: Find all five other trigonometric ratios if sinx=-3/7 and tanx>0

Algebra ->  Trigonometry-basics -> SOLUTION: Find all five other trigonometric ratios if sinx=-3/7 and tanx>0      Log On


   



Question 806712: Find all five other trigonometric ratios if sinx=-3/7 and tanx>0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all five other trigonometric ratios if sinx=-3/7 and tanx>0
***
Reference angle x is in quadrant II where sin<0, cos<0, tan>0
cosx=-√(1-sin^2x)=-√(1-9/49)=-√(40/49)=-√40/7
sinx=-3/7
cosx=-√40/7
tanx=sinx/cosx=3/√40=(3√40)/40
cscx=-7/3
secx=-7/√40=-(7√40)/40
cotx=√40/3