What is the general solution for -6sin(2x)=3sqrt(2) ?

The general solution for -6sin(2x)=3sqrt(2) is x=(5pi)/8+pin,x=(7pi)/8+pin

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-6sin(2x)=3sqrt(2)

- 6 sin (2 x) = 32

x = \frac{5 π}{8} + πn, x = \frac{7 π}{8} + πn

Solution steps

- 6 sin (2 x) = 32

Divide both sides by

- 6

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

General solutions for

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

2 x = \frac{5 π}{4} + 2 πn, 2 x = \frac{7 π}{4} + 2 πn

Solve

2 x = \frac{5 π}{4} + 2 πn : x = \frac{5 π}{8} + πn

Solve

2 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{8} + πn

x = \frac{5 π}{8} + πn, x = \frac{7 π}{8} + πn

3 cot (2 x) + 1 = 0

sin (4 t) = 0

5 sec (θ) - 3 = 2

5 sec (θ) - 3 = 0

csc^{4} (x) - 1 = 5 cot^{2} (x)

What is the general solution for -6sin(2x)=3sqrt(2) ?
The general solution for -6sin(2x)=3sqrt(2) is x=(5pi)/8+pin,x=(7pi)/8+pin