What is the general solution for -2(cos(x)-3)=7 ?

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

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-2(cos(x)-3)=7

- 2 (cos (x) - 3) = 7

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

Solution steps

- 2 (cos (x) - 3) = 7

Divide both sides by

- 2

cos (x) - 3 = - \frac{7}{2}

Move

3

to the right side

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

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

cos (9 x) - cos (3 x) = sin (6 x)

1 - cos^{2} (θ) + 3 = 2 sin (θ) + 3

sin (4 θ) = sin (2 θ)

y, x sin (y) = x

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