Respuesta :
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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