What is the general solution for 34*sin(pi/6 (x-4.3))=34 ?

The general solution for 34*sin(pi/6 (x-4.3))=34 is x=12n+7.3

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34*sin(pi/6 (x-4.3))=34

34 \cdot sin (\frac{π}{6} (x - 4.3)) = 34

x = 12 n + 7.3

Solution steps

34 sin (\frac{π}{6} (x - 4.3)) = 34

Divide both sides by

34

sin (\frac{π}{6} (x - 4.3)) = 1

General solutions for

sin (\frac{π}{6} (x - 4.3)) = 1

\frac{π}{6} (x - 4.3) = \frac{π}{2} + 2 πn

Solve

\frac{π}{6} (x - 4.3) = \frac{π}{2} + 2 πn : x = 12 n + 7.3

x = 12 n + 7.3

2 (sin (x)) 2 - 5 cos (x) - 4 = 0

cos (\frac{x}{2} + 2 0^{\circ}) = sin (x)

0 = cos^{2} (x) + sin^{2} (x) - 2 sin (x), 0 \leq x \leq 2 π

sin (θ) = - \frac{7}{25}, sin (2 θ)

cos (θ) = \frac{9}{12}

What is the general solution for 34*sin(pi/6 (x-4.3))=34 ?
The general solution for 34*sin(pi/6 (x-4.3))=34 is x=12n+7.3