What is the general solution for (cos(x)-5)(cos(x)+1)=0 ?

The general solution for (cos(x)-5)(cos(x)+1)=0 is x=pi+2pin

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(cos(x)-5)(cos(x)+1)=0

(cos (x) - 5) (cos (x) + 1) = 0

x = π + 2 πn

Solution steps

(cos (x) - 5) (cos (x) + 1) = 0

Solving each part separately

cos (x) - 5 = 0 or cos (x) + 1 = 0

cos (x) - 5 = 0 :

No Solution

cos (x) + 1 = 0 : x = π + 2 πn

Combine all the solutions

x = π + 2 πn

sin (t) cos (t) = sin^{2} (t)

cos (x) = \frac{290}{346.7}

tan (x) = \frac{19}{11}

cot (x) = cot (3 x - 5 0^{\circ}), 0 < x < 18 0^{\circ}

tan (2 θ) = \frac{4}{3}

What is the general solution for (cos(x)-5)(cos(x)+1)=0 ?
The general solution for (cos(x)-5)(cos(x)+1)=0 is x=pi+2pin