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

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

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cos^2(x)+2cos(x)=3

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

x = 2 πn

Solution steps

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

Solve by substitution

cos (x) = 1, cos (x) = - 3

cos (x) = 1 : x = 2 πn

cos (x) = - 3 :

No Solution

Combine all the solutions

x = 2 πn

tan (10 5^{\circ})

cos (2 θ) = \frac{3}{2}

cos (2 x) = cos^{2} (x) - sin^{2} (x)

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

arcsin (sin (\frac{3 π}{4}))

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