What is the general solution for 3cos(x)+cos(3x)=0 ?

The general solution for 3cos(x)+cos(3x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin

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

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

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

Solution steps

3 cos (x) + cos (3 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

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

tan (x) = \frac{35}{29}

3 sin (θ) = 1 - sin (θ)

1 = sin (9 0^{\circ} - θ) - 0.075 cos (9 0^{\circ} - θ)

- 6 sin (θ) = - 32

What is the general solution for 3cos(x)+cos(3x)=0 ?
The general solution for 3cos(x)+cos(3x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin