Ответы на вопрос:
1) cos^2(x)+sinx-1=01-sin²x+sinx-1=0sinx-sin²x=0sinx(1-sinx)=0sinx=0⇒x=πn,n∈zsinx=1⇒x=π/2+2πk,k∈z 2) sin5x*cosx+sinx*cos5x=1sin(5x+x)=1sin6x=1⇒6x=π/2+2πn⇒x=π/12+πn/3,n∈z 3) 3sin-9cosx=0/cosx3tgx-9=03tgx=9tgx=3x=arctg3+πn,n∈z 4) sin2x+sinx=02sinxcosx+sinx=0sinx(2cosx+1)=0 sinx=0⇒x=πn,n∈zcosx=-1/2⇒x=+-2π/3+2πk,k∈z 5) 3sin^2(7/2x)-cos^2(7/2)x=-1/2 3/2*(1-cos7x)-1/2*(1+cos7x)=-1/23-3cos7x-1-cos7x=-14cos7x=3cos7x=3/47x=+-arccos3/4+2πnx=+-1/7*arccos0,75+2πn/7,n∈z
Популярно: Алгебра
-
JULIA11009.03.2022 20:26
-
привет94831.07.2022 17:23
-
Света123456788017.06.2023 12:17
-
MrVyacheslav22804.04.2023 06:05
-
1castiel0321.03.2020 20:53
-
Dashalu4507.02.2023 01:42
-
007София02.12.2020 17:36
-
seropyan200601.07.2021 16:21
-
tskaev66227.09.2020 08:57
-
Маркизетта10.05.2022 02:39