SOLUTION: Approximate to the nearest degree, the solutions of the equation in the interval [0°, 360°). (8cot(x)+1)(cos(x)-4)=0

Algebra ->  Trigonometry-basics -> SOLUTION: Approximate to the nearest degree, the solutions of the equation in the interval [0°, 360°). (8cot(x)+1)(cos(x)-4)=0      Log On


   



Question 524729: Approximate to the nearest degree, the solutions of the equation in the interval [0°, 360°).
(8cot(x)+1)(cos(x)-4)=0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Approximate to the nearest degree, the solutions of the equation in the interval [0°, 360°).
(8cot(x)+1)(cos(x)-4)=0
---
8cot(x) = -1 or cos(x) = 4
---
cos(x) cannot = 4, so cot(x) = -1/8
x = cot^-1(-1/8) = -82.88 = 277.125 degrees
or x = 277.12-180 = 97.125 degrees
=========================================
Cheers,
Stan H.