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In euler's formula cos (theta)+isin(theta), why do we write imaginary no.(i) with sin and not with cos?
In Euler's formula cos (theta)+isin(theta), why we write imaginary no.(i) with sin and not wit cos?
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Ravi prakash yadav
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e^(i×theta)=sin(theta)+cos(theta( doesn't hold true for theta=0 Hence we can't write like this.
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Aritra Dey
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Any complex number z = x + iy can be written as z=rcos(theta)+rsin(theta)=re^i(theta)........if you write z=ix+y then you can use iota with cos(theta) but it is a convention to use z=x+iy . That's it
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Ravi prakash yadav
e^(i×theta)=sin(theta)+cos(theta( doesn't hold true for theta=0 Hence we can't write like this.