resout sin(x)=0 sur [0,2*pi]
Let's solve in <math><mi>ℝ</mi></math>: <math><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo> = </mo><mn>0</mn></math>
<m>sin(θ) = <math><mn>0</mn></math></m> is equivalent to: <m>θ = <math><mn>2</mn><mi>k</mi><mo>·</mo><mi>π</mi></math></m> or <m>θ = <math><mi>π</mi><mo> + </mo><mn>2</mn><mi>k</mi><mo>·</mo><mi>π</mi></math></m>, <m>k ∈ ℤ</m>
<u>Solution obtained</u>: <math><mi>x</mi><mo> = </mo><mn>2</mn><mi>k</mi><mo>·</mo><mi>π</mi></math>
▷<b>Answer: <math><mo>{ </mo><mi>x</mi><mo> = </mo><mo>{ </mo><mn>2</mn><mi>k</mi><mo>·</mo><mi>π</mi><mo>, </mo><mi>π</mi><mo> + </mo><mn>2</mn><mi>k</mi><mo>·</mo><mi>π</mi><mo> }</mo><mo>, </mo><mi>k</mi><mo> ∈ </mo><mi>ℤ</mi><mo> }</mo></math></b><span style='font-size:smaller'> (computation took 3 steps and 11 ms)</span>