Solve the Equation 2cos^(2)x+cos x-1=0

Nyasia Flowers 2022-09-11 Answered
Solve the Equation
2 cos 2 x + cos x 1 = 0
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Answers (1)

Aldo Harrington
Answered 2022-09-12 Author has 12 answers
2 cos 2 x + cos x 1 = 0
cos x = t ; 1 t 1
2 t 2 + t 1 = 0
D=1+8=9
x 1 = 1 + 3 4 = 1 2
x 2 = 1 3 4 = 1
cos x = 1 2
x = + arccos 1 2 + 2 π n
x = + π 3 + 2 π n
x = + π 3 + 2 π n
cos x = 1
x = + ( π arccos 1 ) + 2 π k
x = + π + 2 π k
n and k Z.
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