SOLUTION: Find all possible values of cos(t) when sin(t) = -3/4. If there is more than one answer, enter them in a list separated by commas. Enter either an exact expression or a number corr

Algebra ->  Trigonometry-basics -> SOLUTION: Find all possible values of cos(t) when sin(t) = -3/4. If there is more than one answer, enter them in a list separated by commas. Enter either an exact expression or a number corr      Log On


   



Question 958639: Find all possible values of cos(t) when sin(t) = -3/4. If there is more than one answer, enter them in a list separated by commas. Enter either an exact expression or a number correct to five decimal places.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all possible values of cos(t) when sin(t) = -3/4. If there is more than one answer, enter them in a list separated by commas. Enter either an exact expression or a number correct to five decimal places.
***
For [0, 2π)
sin(t)=-3/4( in quadrants III and IV where sin<0
cos(t)=±√(1-sin^2(t))=±√(1-9/16)=-±(7/16)=-√7/4 (in quadrant III), √7/4 (in quadrant IV)