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

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

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sin(x)= 2/4

sin (x) = \frac{2}{4}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

sin (x) = \frac{2}{4}

Cancel the common factor:

2

sin (x) = \frac{1}{2}

General solutions for

sin (x) = \frac{1}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

sin (x^{2} - 2 x + 1) = 1

3 - tan^{2} (x) = 0

2 sin^{2} (θ) + cos (θ) = 0

csc (θ) = - \frac{8}{5}

cos^{2} (x) = 2 cos (x) + 3

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