y(-x) = (-x) / sin(-2x) = -x / (-sin2x) = x/sin2x = y(x)
Поскольку y(-x) = y(x), то функция четная.
6.
sin51°cos39°-sin21°cos9°=sin(90°-39°)cos39°-sin21°cos9<span>°=
=cos39</span>°cos39°-sin(30°-9°)cos9°=cos²39°-sin(30°-9°)cos9<span>°=
=(cos(30</span>°+9°))² - (sin30°cos9°-cos30°sin9°)cos9<span>°=
=(cos30</span>°cos9°-sin30°sin9°)² - (¹/₂ cos9° - (√3/2) sin9°)cos9<span>°=
=((</span>√3/2) cos9° - ¹/₂ sin9°)² - ¹/₂ cos² 9° + (√3/2) sin9° cos9<span>° =
= </span>³/₄ cos² 9° - (√3/2)sin9° cos9° + ¹/₄ sin² 9° - ¹/₂ cos² 9° + +(√3/2)sin9°cos9<span>°=
= </span>³/₄ cos² 9° - ²/₄ cos² 9° + ¹/₄ sin² 9<span>° =
= </span>¹/₄ cos² 9° + ¹/₄ sin² 9<span>° =
= </span>¹/₄ (cos² 9° + sin² 9<span>°</span>)= ¹/₄ * 1 = ¹/₄
(х-х+у/х-у+у):(1-2у+1/х^2-у^2)= (y/x)/(-2y)/x^2-y^2)=(y/x)*(x^2-y^2)/(-2y)=-(x^2-y^2)/2x=(y^2-x^2)/2x
Ответ:
Объяснение:
Ответ: x³+2x²-17x-10
Использовал распределительное свойство.