SOLUTION: Find all exact solutions, in radians, of: 2cos^2(x) + sqrt(2)cosx= 0... 0<x<2pie Thanks heaps.

Algebra ->  Trigonometry-basics -> SOLUTION: Find all exact solutions, in radians, of: 2cos^2(x) + sqrt(2)cosx= 0... 0<x<2pie Thanks heaps.       Log On


   

Question 582284: Find all exact solutions, in radians, of: 2cos^2(x) + sqrt(2)cosx= 0... 0 Thanks heaps.
Answer by lwsshak3(11628) About Me  (Show Source):
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Find all exact solutions, in radians, of: 2cos^2(x) + sqrt(2)cosx= 0... 0 Thanks heaps.
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2cos^2(x) + √2cosx= 0
cosx(2cosx+√2)=0
cosx=0
x=π/2+πn, n= integer
or
2cosx+√2=0
cosx=-√2/2
x=3π/4+2πn and 5π/4+2πn, n=integer, in quadrants II and III where cos<0