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

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

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cos(-x)=-cos(x)

cos (- x) = - cos (x)

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

Solution steps

cos (- x) = - cos (x)

Rewrite using trig identities

cos (x) = - cos (x)

Subtract

- cos (x)

from both sides

2 cos (x) = 0

Divide both sides by

2

cos (x) = 0

General solutions for

cos (x) = 0

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

9 sin (x) tan (x) = - 4 tan (x)

tan^{2} (θ) - 3 tan (θ) = 0

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

2 cos^{2} (x) + 3 cos (x) = 0

y, sin (y) = x

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