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COS180=COS540= -1

The angle θ is cosθ = −1 at 540° .

what is general solution of trigonometric equation?

The expression involving integer 'n' this gives all solutions of a trigonometric equation.

We know that,

cos θ = -1 at  θ= 180°.

Since, cos θ has a period of 2π, or 360°.

It means that cos θ will have the value equal to -1 again after an interval of  2π.

Thus,  cos θ will be -1 after repeating interval of  2π.

So, as  cos θ = -1 at  θ= 180°.

Using general solution,

θ = π + 2nπ

Here, n=1

then, = 180° + 2*1*180

        = 540°

Hence, at 540° the cos θ will be -1.

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