What is the general solution for 4sin(2x)-sqrt(12)=0,0<= x<= 2pi ?

The general solution for 4sin(2x)-sqrt(12)=0,0<= x<= 2pi is x= pi/6 ,x= pi/3 ,x=(7pi)/6 ,x=(4pi)/3

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4sin(2x)-sqrt(12)=0,0<= x<= 2pi

4 sin (2 x) - 12 = 0, 0 \leq x \leq 2 π

x = \frac{π}{6}, x = \frac{π}{3}, x = \frac{7 π}{6}, x = \frac{4 π}{3}

Solution steps

4 sin (2 x) - 12 = 0, 0 \leq x \leq 2 π

12 = 23

4 sin (2 x) - 23 = 0

Move

23

to the right side

4 sin (2 x) = 23

Divide both sides by

4

sin (2 x) = \frac{3}{2}

General solutions for

sin (2 x) = \frac{3}{2}

2 x = \frac{π}{3} + 2 πn, 2 x = \frac{2 π}{3} + 2 πn

Solve

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

Solve

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

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

Solutions for the range

0 \leq x \leq 2 π

x = \frac{π}{6}, x = \frac{π}{3}, x = \frac{7 π}{6}, x = \frac{4 π}{3}

1 \cdot 1 0^{6} = (400 \cdot cos (θ) + 700)^{2} + (400 \cdot sin (θ))^{2}

sin (x) - 0.5 \cdot cos (x) = 0.768

\frac{( 176 ) ^{2}}{300 \cdot 32.2} = tan (θ + 30.963 7^{\circ})

sin (\frac{x}{2}) = \frac{1}{2}, 0 \leq, x \leq 36 0^{\circ}

- 1 - 2 sin (x) = 0

What is the general solution for 4sin(2x)-sqrt(12)=0,0<= x<= 2pi ?
The general solution for 4sin(2x)-sqrt(12)=0,0<= x<= 2pi is x= pi/6 ,x= pi/3 ,x=(7pi)/6 ,x=(4pi)/3