SOLUTION: PLEASE HELP ME SOLVE THIS TRIGONOMETRIC FUNCTIONS: GIven that sin0=4/5 and 0 lies in quadrant ll,find the following value. tan 0

Algebra ->  Trigonometry-basics -> SOLUTION: PLEASE HELP ME SOLVE THIS TRIGONOMETRIC FUNCTIONS: GIven that sin0=4/5 and 0 lies in quadrant ll,find the following value. tan 0      Log On


   



Question 236936: PLEASE HELP ME SOLVE THIS TRIGONOMETRIC FUNCTIONS:
GIven that sin0=4/5 and 0 lies in quadrant ll,find the following value. tan 0

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
sin o = 4/5 = .800
.
use arc sine to find ,,,,,o= 53.13 degrees,,,(2nd function sin on calc)
.
This shows that sin 53.13 = .8,,,ok,,,but there is no 53.13 degrees in Quadrant 2
.
Using the 180 degree ref line,,,,o' = 180- 53.13 = 126.87 degrees
.
checking sin 126.87 = .8,,,,ok
.
Now tan 126.87 = - 1.333 ,,,,,,
.
OR -4/3
.