What is the general solution for 8cos(x)=-4 ?

The general solution for 8cos(x)=-4 is x=(2pi)/3+2pin,x=(4pi)/3+2pin

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8cos(x)=-4

8 cos (x) = - 4

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

Solution steps

8 cos (x) = - 4

Divide both sides by

8

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

90 - 70 sin (x) - 130 cos (x) = 0

2 sin (x) sec (x) - 23 sin (x) = 0

cot (a) sec (a) = cos (a)

cos (2 x) 2 cos (x) = 2 (2 cos^{2} (x) - 1) 2 cos (x)

4 sin^{2} (x) = 4 cos (x) + 1

What is the general solution for 8cos(x)=-4 ?
The general solution for 8cos(x)=-4 is x=(2pi)/3+2pin,x=(4pi)/3+2pin