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Popular >

sin(4x)=-(sqrt(2))/2

Solution

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

Solution

x = \frac{5 π}{16} + \frac{πn}{2}, x = \frac{7 π}{16} + \frac{πn}{2}

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Solution steps

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

General solutions for

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

4 x = \frac{5 π}{4} + 2 πn, 4 x = \frac{7 π}{4} + 2 πn

Solve

4 x = \frac{5 π}{4} + 2 πn : x = \frac{5 π}{16} + \frac{πn}{2}

Solve

4 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{16} + \frac{πn}{2}

x = \frac{5 π}{16} + \frac{πn}{2}, x = \frac{7 π}{16} + \frac{πn}{2}

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cos (\frac{5 π}{4} + x) + sin (\frac{5 π}{4} - x) = 0

Frequently Asked Questions (FAQ)

What is the general solution for sin(4x)=-(sqrt(2))/2 ?
The general solution for sin(4x)=-(sqrt(2))/2 is x=(5pi}{16}+(pin)/2 ,x=(7pi)/(16)+\frac{pin)/2