What is the general solution for 6=sin(pi/4 x)+5 ?

The general solution for 6=sin(pi/4 x)+5 is x=2+8n

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6=sin(pi/4 x)+5

6 = sin (\frac{π}{4} x) + 5

x = 2 + 8 n

Solution steps

6 = sin (\frac{π}{4} x) + 5

Switch sides

sin (\frac{π}{4} x) + 5 = 6

Move

5

to the right side

sin (\frac{π}{4} x) = 1

General solutions for

sin (\frac{π}{4} x) = 1

\frac{π}{4} x = \frac{π}{2} + 2 πn

Solve

\frac{π}{4} x = \frac{π}{2} + 2 πn : x = 2 + 8 n

x = 2 + 8 n

2 cos (θ) + 1 = 0, 0 \leq θ \leq 2 π

t, 4.6 = 0.106 cos (4.36 t)

sin (x) = \frac{23}{24}

5 - 5 cos (x) = 4 sin^{2} (x)

3 cot^{2} (x) - 14 csc (x) - 2 = 0

What is the general solution for 6=sin(pi/4 x)+5 ?
The general solution for 6=sin(pi/4 x)+5 is x=2+8n