What is the general solution for 6sin(c)+sqrt(8)=0 ?

The general solution for 6sin(c)+sqrt(8)=0 is c=-0.49088…+2pin,c=pi+0.49088…+2pin

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6sin(c)+sqrt(8)=0

6 sin (c) + 8 = 0

c = - 0.49088 \dots + 2 πn, c = π + 0.49088 \dots + 2 πn

Solution steps

6 sin (c) + 8 = 0

Simplify

6 sin (c) + 8 : 6 sin (c) + 22

6 sin (c) + 22 = 0

Move

22

to the right side

6 sin (c) = - 22

Divide both sides by

6

sin (c) = - \frac{2}{3}

Apply trig inverse properties

c = arcsin (- \frac{2}{3}) + 2 πn, c = π + arcsin (\frac{2}{3}) + 2 πn

Show solutions in decimal form

c = - 0.49088 \dots + 2 πn, c = π + 0.49088 \dots + 2 πn

sin (2 θ) = - \frac{1}{8}, 27 0^{\circ} < θ < 36 0^{\circ}

1 - 2 cos^{2} (x) - cos (x) = 0

\frac{1}{3} = cos (\frac{π x}{12})

\frac{cos ( 3 0 ^{\circ} )}{cos ( 6 0 ^{\circ} )} = tan (x)

4 cos^{2} (x) - 18 cos (x) - 10 = 0

What is the general solution for 6sin(c)+sqrt(8)=0 ?
The general solution for 6sin(c)+sqrt(8)=0 is c=-0.49088…+2pin,c=pi+0.49088…+2pin