What is the general solution for 1+cos^2(a)=2cos^2(a) ?

The general solution for 1+cos^2(a)=2cos^2(a) is a=2pin,a=pi+2pin

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1+cos^2(a)=2cos^2(a)

1 + cos^{2} (a) = 2 cos^{2} (a)

a = 2 πn, a = π + 2 πn

Solution steps

1 + cos^{2} (a) = 2 cos^{2} (a)

Solve by substitution

cos (a) = 1, cos (a) = - 1

cos (a) = 1 : a = 2 πn

cos (a) = - 1 : a = π + 2 πn

Combine all the solutions

a = 2 πn, a = π + 2 πn

sin (x) = \frac{15}{18}

cos (5 x) = cos (5 + x)

6 cos^{2} (x) - 7 cos (x) - 5 = 0

cos (x) = \frac{- 3}{5 sin ^{2} ( x )}

5 cos^{2} (x) - 12 sin^{2} (x) = 13

What is the general solution for 1+cos^2(a)=2cos^2(a) ?
The general solution for 1+cos^2(a)=2cos^2(a) is a=2pin,a=pi+2pin