What is the general solution for cos^2(x)-3cos(x)=4 ?

The general solution for cos^2(x)-3cos(x)=4 is x=pi+2pin

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cos^2(x)-3cos(x)=4

cos^{2} (x) - 3 cos (x) = 4

x = π + 2 πn

Solution steps

cos^{2} (x) - 3 cos (x) = 4

Solve by substitution

cos (x) = 4, cos (x) = - 1

cos (x) = 4 :

No Solution

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = π + 2 πn

csc (θ) = \frac{5}{2}

x, sin^{2} (x) = \frac{1}{2}

2 sin (2 x) - 2 = 0, 0 \leq x \leq 2 π

32 cos (θ) + 2 = 5

cos^{2} (x) + 3 sin (x) = 3

What is the general solution for cos^2(x)-3cos(x)=4 ?
The general solution for cos^2(x)-3cos(x)=4 is x=pi+2pin