What is the general solution for 3cos(C)+sqrt(8)=0 ?

The general solution for 3cos(C)+sqrt(8)=0 is C=2.80175…+2pin,C=-2.80175…+2pin

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3cos(C)+sqrt(8)=0

3 cos (C) + 8 = 0

C = 2.80175 \dots + 2 πn, C = - 2.80175 \dots + 2 πn

Solution steps

3 cos (C) + 8 = 0

Simplify

3 cos (C) + 8 : 3 cos (C) + 22

3 cos (C) + 22 = 0

Move

22

to the right side

3 cos (C) = - 22

Divide both sides by

3

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

Apply trig inverse properties

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

Show solutions in decimal form

C = 2.80175 \dots + 2 πn, C = - 2.80175 \dots + 2 πn

sin (2 x) = \frac{- 2}{2}

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

7 tan (θ) = 23 + tan (θ)

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

24 tan^{2} (x) - 8 = 0

What is the general solution for 3cos(C)+sqrt(8)=0 ?
The general solution for 3cos(C)+sqrt(8)=0 is C=2.80175…+2pin,C=-2.80175…+2pin