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Find real part of z=tan(a+ib)
Dear ashish
z=tan(a+ib)
let z = x+iy
so
x+iy = tan(a+ib)
x-iy = tan (a-ib)
add
2x = tan(a+ib) + tan (a-ib)
=sin ( a+ib+a -ib)/2cos(a+ib)cos(a-ib)
= sin2a / (cos2a + cos2ib)
= sin2a/(cos2a + cosh2b)
x = sin2a/2(cos2a + cosh2b)
in above derivation we use cosi2b = cosh2b
this a formula and cosh2b is a real value,not imaginarry
coshx =(ex + e-x )/2
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