What is the general solution for 10cos(c)+1=cos(c)-1 ?

The general solution for 10cos(c)+1=cos(c)-1 is c=1.79488…+2pin,c=-1.79488…+2pin

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10cos(c)+1=cos(c)-1

10 cos (c) + 1 = cos (c) - 1

c = 1.79488 \dots + 2 πn, c = - 1.79488 \dots + 2 πn

Solution steps

10 cos (c) + 1 = cos (c) - 1

Solve by substitution

cos (c) = - \frac{2}{9}

cos (c) = - \frac{2}{9} : c = arccos (- \frac{2}{9}) + 2 πn, c = - arccos (- \frac{2}{9}) + 2 πn

Combine all the solutions

c = arccos (- \frac{2}{9}) + 2 πn, c = - arccos (- \frac{2}{9}) + 2 πn

Show solutions in decimal form

c = 1.79488 \dots + 2 πn, c = - 1.79488 \dots + 2 πn

tan (x - \frac{π}{3}) = 1

3 sin (x) + cos (x) = 3

1 = sin (2 t)

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

sin (\frac{x}{3}) = \frac{1}{2}, 0 \leq x \leq 2 π

What is the general solution for 10cos(c)+1=cos(c)-1 ?
The general solution for 10cos(c)+1=cos(c)-1 is c=1.79488…+2pin,c=-1.79488…+2pin