What is the general solution for 3cos(x)+2=0 ?

The general solution for 3cos(x)+2=0 is x=2.30052…+2pin,x=-2.30052…+2pin

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3cos(x)+2=0

3 cos (x) + 2 = 0

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

Solution steps

3 cos (x) + 2 = 0

Move

2

to the right side

3 cos (x) = - 2

Divide both sides by

3

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

Apply trig inverse properties

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

Show solutions in decimal form

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

2 tan (x) sin (x) - tan (x) = 0

tan (\frac{x}{2}) = 5

- 6 cos (2 x) + 23 cos (x) - 11 = 0

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

\frac{178.9}{sin ( 12 5 ^{\circ} )} = \frac{125}{sin ( x )}

What is the general solution for 3cos(x)+2=0 ?
The general solution for 3cos(x)+2=0 is x=2.30052…+2pin,x=-2.30052…+2pin