To convert 4 to trigonometric form, express it in z=x+yi form. So it becomes:
`z=4+0i`
Take note that the trigonometric form of a complex number z=x+yi is
`z=r(cos theta + isin theta )`
where
`r= sqrt(x^2+y^2)` and `theta = tan^(-1) y/x`
Applying these two formulas, the values of r and theta of z=4+0i are:
`r=sqrt(4^2+0^2)=4`
`theta = tan^(-1) 0/4 =0^o`
Plugging them to the trigonometric form of a complex number result to:
`z= 4(cos0^o + isin 0^o)`
Therefore, the trigonometric form of 4 is `4(cos 0^o + isin 0^o)` .
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