Question

решитеее пожалуйстаааа!!!!!!!

Answer 1

N1

4cos(x) = 9 - sin^2 (x)

4cos(x) = 8 + cos^2 (x)

cos^2 (x) - 4cosx + 8 = 0

cosx = t ; |t|=<1

t^2 - 4t + 8 = 0

D = 16 - 32 = -16

D < 0, нет корней

N2

cos^2 (α) - 3sinα = 3

cos^2 (α) - 3 - 3sinα = 0

-sin^2 (α) - 3sinα -2 = 0

sin^2 (α) + 3sinα +2 = 0

sinα = t ; |t| =< 1

t^2 + 3t + 2 = 0

{ [t = -1

{ [t = -2 t = -1

{ |t| =< 1

sinα = -1

α = -π/2 + 2πk ; k € Z