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Popular >

sin(x-pi/3)= 1/2

Solution

sin (x - \frac{π}{3}) = \frac{1}{2}

Solution

x = 2 πn + \frac{π}{2}, x = 2 πn + \frac{7 π}{6}

+1

Solution steps

sin (x - \frac{π}{3}) = \frac{1}{2}

General solutions for

sin (x - \frac{π}{3}) = \frac{1}{2}

x - \frac{π}{3} = \frac{π}{6} + 2 πn, x - \frac{π}{3} = \frac{5 π}{6} + 2 πn

Solve

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

Solve

x - \frac{π}{3} = \frac{5 π}{6} + 2 πn : x = 2 πn + \frac{7 π}{6}

x = 2 πn + \frac{π}{2}, x = 2 πn + \frac{7 π}{6}

Popular Examples

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sec^{2} (x) - 1 \cdot sec^{2} (x) = sin^{2} (x)

(sqrt(17))/8 sin(8sqrt(2)x+1.326)=0

\frac{17}{8} sin (82 x + 1.326) = 0

-1-2cos(x)=-cos(x)

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solvefor x,arctan(y/x)=45 solve for

x, arctan (\frac{y}{x}) = 45

cos(H)=0.3648447229

cos (H) = 0.3648447229

Frequently Asked Questions (FAQ)

What is the general solution for sin(x-pi/3)= 1/2 ?
The general solution for sin(x-pi/3)= 1/2 is x=2pin+pi/2 ,x=2pin+(7pi)/6