What is the general solution for 2sin(3x)+2=4 ?

The general solution for 2sin(3x)+2=4 is x= pi/6+(2pin)/3

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2sin(3x)+2=4

2 sin (3 x) + 2 = 4

x = \frac{π}{6} + \frac{2 πn}{3}

Solution steps

2 sin (3 x) + 2 = 4

Move

2

to the right side

2 sin (3 x) = 2

Divide both sides by

2

sin (3 x) = 1

General solutions for

sin (3 x) = 1

3 x = \frac{π}{2} + 2 πn

Solve

3 x = \frac{π}{2} + 2 πn : x = \frac{π}{6} + \frac{2 πn}{3}

x = \frac{π}{6} + \frac{2 πn}{3}

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

43 tan (x) + 4 = 0

- 2 cos (a) + 6 = cos (a) + 9

sin (θ) = 0.64

tan (θ) = \frac{6}{5}

What is the general solution for 2sin(3x)+2=4 ?
The general solution for 2sin(3x)+2=4 is x= pi/6+(2pin)/3