What is the general solution for -8cos(x)=3 ?

The general solution for -8cos(x)=3 is x=1.95519…+2pin,x=-1.95519…+2pin

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-8cos(x)=3

- 8 cos (x) = 3

x = 1.95519 \dots + 2 πn, x = - 1.95519 \dots + 2 πn

Solution steps

- 8 cos (x) = 3

Divide both sides by

- 8

cos (x) = - \frac{3}{8}

Apply trig inverse properties

x = arccos (- \frac{3}{8}) + 2 πn, x = - arccos (- \frac{3}{8}) + 2 πn

Show solutions in decimal form

x = 1.95519 \dots + 2 πn, x = - 1.95519 \dots + 2 πn

tan (x) \cdot cos (x) + cos (x) = 0

2 sin (3 x) - 1 = 0

4 cos (x + \frac{π}{4}) = - 1

cos (x) = \frac{3}{25}

csc (θ) + 3.35 = 0

What is the general solution for -8cos(x)=3 ?
The general solution for -8cos(x)=3 is x=1.95519…+2pin,x=-1.95519…+2pin