What is the general solution for sin(x)=0,5 ?

The general solution for sin(x)=0,5 is No Solution for x\in\mathbb{R}

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sin(x)=0,5

sin (x) = 0, 5

No Solution for x \in R

Solution steps

sin (x) = 0, 5

General solutions for

sin (x) = 0

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 = 0 + 2 πn, x = π + 2 πn

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 0 + 2 πn

0 + 2 πn = 2 πn

x = 2 πn

x = 2 πn, x = π + 2 πn

Solutions for the range

5

No Solution for x \in R

cos (b) + 4 = 3 cos (b) + 4

- 3 cos (2 θ) - 15 sin (θ) + 8 = - 8 sin (θ) + 3

cos (z) = 4

sin (x) = 8

tan (y) = 0

What is the general solution for sin(x)=0,5 ?
The general solution for sin(x)=0,5 is No Solution for x\in\mathbb{R}