What is the general solution for 6cos(x)+1=4 ?

The general solution for 6cos(x)+1=4 is x= pi/3+2pin,x=(5pi)/3+2pin

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6cos(x)+1=4

6 cos (x) + 1 = 4

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

6 cos (x) + 1 = 4

Move

1

to the right side

6 cos (x) = 3

Divide both sides by

6

cos (x) = \frac{1}{2}

General solutions for

cos (x) = \frac{1}{2}

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

sin (θ) = cos (3 7^{\circ})

cot (x) - cot (x) csc (x) = 0

3 sin^{2} (x) - 3 sin (x) + cos^{2} (x) = 0

12 cos^{2} (x) - 7 cos (x) + 1 = 0

tan (\frac{x}{2}) tan (x) = - 3

What is the general solution for 6cos(x)+1=4 ?
The general solution for 6cos(x)+1=4 is x= pi/3+2pin,x=(5pi)/3+2pin