What is the general solution for 6cos^2(x)-12cos(x)+6=0 ?

The general solution for 6cos^2(x)-12cos(x)+6=0 is x=2pin

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6cos^2(x)-12cos(x)+6=0

6 cos^{2} (x) - 12 cos (x) + 6 = 0

x = 2 πn

Solution steps

6 cos^{2} (x) - 12 cos (x) + 6 = 0

Solve by substitution

cos (x) = 1

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = 2 πn

csc (x) = sin (x) tan (x) + cos (x)

6 sin^{2} (θ) - 10 sin (θ) - 8 = - 3 sin (θ) - 3

sin (4 θ) - sin (6 θ) = 0

sin (x) = \frac{3}{10}

9 csc^{2} (x) + 7 = 19

What is the general solution for 6cos^2(x)-12cos(x)+6=0 ?
The general solution for 6cos^2(x)-12cos(x)+6=0 is x=2pin