1) sin x = √2/2
x = (-1)ⁿ × arcsin √2/2 + πn, n∈Z
x = (-1)ⁿ × π/4 + πn, n∈Z
2) sin x = -√2/2
x = (-1)ⁿ × arcsin (-√2/2) + πn, n∈Z
x = (-1)ⁿ × -arcsin √2/2 + πn, n∈Z
x = (-1)ⁿ × (-π/4) + πn, n∈Z
3) sin x = -√3/2
x = (-1)ⁿ × arcsin (-√3/2) + πn, n∈Z
x = (-1)ⁿ × -arcsin √3/2 + πn, n∈Z
x = (-1)ⁿ × (-π/3) + πn, n∈Z
4) sin x = √3/2
x = (-1)ⁿ × arcsin √3/2 + πn, n∈Z
x = (-1)ⁿ × arcsin √3/2 + πn, n∈Z
x = (-1)ⁿ × π/3 + πn, n∈Z
5) sin x = 4/5
x = (-1)ⁿ × arcsin 4/5 + πn, n∈Z
x = (-1)ⁿ × 0,927295 + πn, n∈Z
x = (-1)ⁿ × 53,1° + πn, n∈Z
№1 (а)
ответ: -\frac{4}{3}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=x%20%3E%20-%5Cfrac%7B4%7D%7B3%7D" title="x > -\frac{4}{3}">
№1 (б)
№2 (а)
-4} \atop {x\leq -2.5}} \right." class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%3E-4%7D%20%5Catop%20%7Bx%5Cleq%20-2.5%7D%7D%20%5Cright." title="\left \{ {{x>-4} \atop {x\leq -2.5}} \right.">
№2(б)
\frac{36}{5}" class="latex-formula" id="TexFormula10" src="https://tex.z-dn.net/?f=x%20%3E%20%5Cfrac%7B36%7D%7B5%7D" title="x > \frac{36}{5}">
ответ: \frac{36}{5}" class="latex-formula" id="TexFormula12" src="https://tex.z-dn.net/?f=x%20%3E%20%5Cfrac%7B36%7D%7B5%7D" title="x > \frac{36}{5}">
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