What is the general solution for 34sin(pi/6 (x-43))=34 ?

The general solution for 34sin(pi/6 (x-43))=34 is x=12n+46

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34sin(pi/6 (x-43))=34

34 sin (\frac{π}{6} (x - 43)) = 34

x = 12 n + 46

Solution steps

34 sin (\frac{π}{6} (x - 43)) = 34

Divide both sides by

34

sin (\frac{π}{6} (x - 43)) = 1

General solutions for

sin (\frac{π}{6} (x - 43)) = 1

\frac{π}{6} (x - 43) = \frac{π}{2} + 2 πn

Solve

\frac{π}{6} (x - 43) = \frac{π}{2} + 2 πn : x = 12 n + 46

x = 12 n + 46

3 sin (3 x) = 2

2 sinh (2 x) - 6 cosh (x) = 0

- cos (x) = - 1

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

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

What is the general solution for 34sin(pi/6 (x-43))=34 ?
The general solution for 34sin(pi/6 (x-43))=34 is x=12n+46