< Complex Analysis
If sin(x+iy)=p+iq ,then find p and q.
Sol. Here
sin(x+iy)=p+iq
=> sinx.cos(iy)+cosx.sin(iy)=p+iq
=>sinx.coshy+icosx.sinhy=p+iq
[sin ix= sinhx, cos ix= coshx]
On comparing both the sides, we get
=> p=sinx.coshx and q= Complex Analysis[1]
- ↑ If sin(x+iy)=p+iq ,then find p and q.
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