What is the general solution for solvefor x,sin(x)=(sqrt(3))/2 ?

The general solution for solvefor x,sin(x)=(sqrt(3))/2 is x= pi/3+2pin,x=(2pi)/3+2pin

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solvefor x,sin(x)=(sqrt(3))/2

solve for

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

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

Degrees

x = 6 0^{\circ} + 36 0^{\circ} n, x = 12 0^{\circ} + 36 0^{\circ} n

Solution steps

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

General solutions for

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

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

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

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

tan (α) = 2

sin (2 x + \frac{π}{4}) = \frac{2}{2}

cot (θ) = \frac{2}{3}

sec (θ) = \frac{6}{5}

3 cos (x) + 4 sin (x) = 0

What is the general solution for solvefor x,sin(x)=(sqrt(3))/2 ?
The general solution for solvefor x,sin(x)=(sqrt(3))/2 is x= pi/3+2pin,x=(2pi)/3+2pin