What is the general solution for 7=4sin(pi/2 (x-2))+5 ?

The general solution for 7=4sin(pi/2 (x-2))+5 is x=4n+7/3 ,x=4n+11/3

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7=4sin(pi/2 (x-2))+5

7 = 4 sin (\frac{π}{2} (x - 2)) + 5

x = 4 n + \frac{7}{3}, x = 4 n + \frac{11}{3}

Solution steps

7 = 4 sin (\frac{π}{2} (x - 2)) + 5

Switch sides

4 sin (\frac{π}{2} (x - 2)) + 5 = 7

Move

5

to the right side

4 sin (\frac{π}{2} (x - 2)) = 2

Divide both sides by

4

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

General solutions for

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

\frac{π}{2} (x - 2) = \frac{π}{6} + 2 πn, \frac{π}{2} (x - 2) = \frac{5 π}{6} + 2 πn

Solve

\frac{π}{2} (x - 2) = \frac{π}{6} + 2 πn : x = 4 n + \frac{7}{3}

Solve

\frac{π}{2} (x - 2) = \frac{5 π}{6} + 2 πn : x = 4 n + \frac{11}{3}

x = 4 n + \frac{7}{3}, x = 4 n + \frac{11}{3}

3 tan^{4} (x) - 3 tan^{3} (x) - tan^{2} (x) + tan (x) = 0

503 = 100 \cdot \frac{cos ( x )}{sin ( x )}

5 - cos (θ) = 5

6 sin (θ) = 2 + 2 sin (θ)

sin (x - \frac{π}{4}) - sin (x + \frac{π}{4}) = 0.25

What is the general solution for 7=4sin(pi/2 (x-2))+5 ?
The general solution for 7=4sin(pi/2 (x-2))+5 is x=4n+7/3 ,x=4n+11/3