16-x^2=0
(4-x)(4+x)=0
x=-4 или x=4
Нули функции:-4 и 4
2sinx/2cosx/2-cos²x/2+sin²x/2+sin²x/2+cos²x/2=0
2sin²x/2+2sinx/2cosx/2=0
2sinx/2*(sinx/2+cosx/2)=0
sinx/2=0⇒x/2=πn⇒x=2πn,n∈z
sinx/2+cosx/2=0/cosx/2
tgx/2+1=0⇒tgx/2=-1⇒x/2=-π/4+πk⇒x=-π/2+2πk,k∈z
(2 7/9 z+3 1/3)*3/5 = 1/6 z+6 1/2
(25/9 z+10/3)*3/5 = 1/6 z+6 1/2
25*3/9*5 z + 10*3/3*5= 1/6 z +6 1/2
5/3 z + 2- 1/6 z= 6 1/2
10/6 z -1/6 z= 6 1/2 - 2
9/6 z= 4 1/2
3/2 z= 9/2
z= 9/2 : 3/2
z= 9/2 * 2/3
z= 3