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prehisto
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Homework Statement
Find complex number z from equation
Sinz+cosz=4
Homework Equations
The Attempt at a Solution
I rewrite sinz+cosz=4 in form:
[itex]\frac{(exp[i*z]-exp[-i*z])}{2i}[/itex]+[itex]\frac{(exp[i*z]+exp[-i*z])}{2}[/itex]=4
then subsitute t=exp[i*z]
So I gain t2(1+i)+8ti-1+i=0,I think i can rewrite it in form t2a+tb-c=0
Next step could be to use Quadratic formula,but the roots are complicated, maybe I have mistaken ?so
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