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

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

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cos(3x)=-3cos(x)

cos (3 x) = - 3 cos (x)

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

cos (3 x) = - 3 cos (x)

Subtract

- 3 cos (x)

from both sides

cos (3 x) + 3 cos (x) = 0

Rewrite using trig identities

4 cos^{3} (x) = 0

Divide both sides by

4

cos (x) = 0

General solutions for

cos (x) = 0

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

cos (x) = \frac{280}{2000}

4 cos (θ) = 2 + 2 cos (θ)

x, T (6) = 3.15 cos (\frac{π}{6} x) + 19.15

3 tan^{2} (x) = 1, - π \leq x \leq π

cos (2 t) - cos (t) = 0.5

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