What is the general solution for 9.383=3.1915cos(pi/(6(1-c)))+6.1915 ?

The general solution for 9.383=3.1915cos(pi/(6(1-c)))+6.1915 is c=-1/(12n)+1;\quad n\ne 0

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9.383=3.1915cos(pi/(6(1-c)))+6.1915

9.383 = 3.1915 cos (\frac{π}{6 ( 1 - c )}) + 6.1915

c = - \frac{1}{12 n} + 1; n \neq = 0

Solution steps

9.383 = 3.1915 cos (\frac{π}{6 ( 1 - c )}) + 6.1915

Switch sides

3.1915 cos (\frac{π}{6 ( 1 - c )}) + 6.1915 = 9.383

Move

6.1915

to the right side

3.1915 cos (\frac{π}{6 ( 1 - c )}) = 3.1915

Divide both sides by

3.1915

cos (\frac{π}{6 ( 1 - c )}) = 1

General solutions for

cos (\frac{π}{6 ( 1 - c )}) = 1

\frac{π}{6 ( 1 - c )} = 0 + 2 πn

Solve

\frac{π}{6 ( 1 - c )} = 0 + 2 πn : c = - \frac{1}{12 n} + 1; n \neq = 0

c = - \frac{1}{12 n} + 1; n \neq = 0

tan (2 x) = - \frac{40}{3}

3 cos (2 x) - 5 sin (x) + 1 = 0

tan (θ) = \frac{5}{- 2}

sin (x + \frac{π}{2}) = \frac{1}{2}

8 cos (x) + 4 = 0

What is the general solution for 9.383=3.1915cos(pi/(6(1-c)))+6.1915 ?
The general solution for 9.383=3.1915cos(pi/(6(1-c)))+6.1915 is c=-1/(12n)+1;\quad n\ne 0