What is the general solution for (cos(x)-2)(cos(x)+1)=0 ?

The general solution for (cos(x)-2)(cos(x)+1)=0 is x=pi+2pin

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(cos(x)-2)(cos(x)+1)=0

(cos (x) - 2) (cos (x) + 1) = 0

x = π + 2 πn

Solution steps

(cos (x) - 2) (cos (x) + 1) = 0

Solving each part separately

cos (x) - 2 = 0 or cos (x) + 1 = 0

cos (x) - 2 = 0 :

No Solution

cos (x) + 1 = 0 : x = π + 2 πn

Combine all the solutions

x = π + 2 πn

6 cos^{2} (x) + sin (x) - 5 = 0

tan (θ) = \frac{23}{72}

sin (θ - \frac{π}{2}) = cos (θ)

sec^{2} (x) - \frac{4}{3} = 0

sin (30 t) = - 0.625

What is the general solution for (cos(x)-2)(cos(x)+1)=0 ?
The general solution for (cos(x)-2)(cos(x)+1)=0 is x=pi+2pin