What is the general solution for 4cos(x)-5=-7 ?

The general solution for 4cos(x)-5=-7 is x=(2pi)/3+2pin,x=(4pi)/3+2pin

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4cos(x)-5=-7

4 cos (x) - 5 = - 7

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

4 cos (x) - 5 = - 7

Move

5

to the right side

4 cos (x) = - 2

Divide both sides by

4

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

General solutions for

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

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

0 = 1 + 2 sin (\frac{x ^{2}}{2})

cos (2 x) - 5 cos (x) + 3 = 0

9 sin^{2} (x) + 18 sin (x) + 9 = 0

- 12 sin^{2} (θ) + 7 = 4

4 cos (θ) + 5 = 0

What is the general solution for 4cos(x)-5=-7 ?
The general solution for 4cos(x)-5=-7 is x=(2pi)/3+2pin,x=(4pi)/3+2pin