What is the general solution for sin(4x)=0.5 ?

The general solution for sin(4x)=0.5 is x= pi/(24)+(pin)/2 ,x=(5pi}{24}+\frac{pin)/2

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sin(4x)=0.5

sin (4 x) = 0.5

x = \frac{π}{24} + \frac{πn}{2}, x = \frac{5 π}{24} + \frac{πn}{2}

Solution steps

sin (4 x) = 0.5

General solutions for

sin (4 x) = 0.5

4 x = \frac{π}{6} + 2 πn, 4 x = \frac{5 π}{6} + 2 πn

Solve

4 x = \frac{π}{6} + 2 πn : x = \frac{π}{24} + \frac{πn}{2}

Solve

4 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{24} + \frac{πn}{2}

x = \frac{π}{24} + \frac{πn}{2}, x = \frac{5 π}{24} + \frac{πn}{2}

3 cos^{2} (x) + 6 cos (x) = - 3, 0 \leq x \leq 2 π

tan (θ) = 7, sec^{2} (θ)

4 cos (x - 4 5^{\circ}) + 7 = 10, 0^{\circ} \leq x \leq 36 0^{\circ}

6 cosh^{2} (x) + 4 sinh (x) = 7

53 tan (x) + 3 = 83 tan (x)

What is the general solution for sin(4x)=0.5 ?
The general solution for sin(4x)=0.5 is x= pi/(24)+(pin)/2 ,x=(5pi}{24}+\frac{pin)/2