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)

Solve by substitution

cos (x) = 0

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Combine all the solutions

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

3 sin (x) sec (x) = 2 sin (x), 0 \leq x \leq 2 π

2 cos (x) = 3, 0 \leq x \leq 2 π

7 sin (θ) = 5

tan (2 x) = 3, 0 \leq x \leq 2 π

4 tan^{2} (θ) + tan (θ) = - 4 tan (θ) - 1

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