Let-f-be-a-function-defined-on-the-domain-D-f-C-and-f-z-cosz-for-z-D-f-Is-f-z-a-member-of-C-Compute-for-example-f-2-6i-

Question Number 1797 by 112358 last updated on 29/Sep/15

L e t f b e a f u n c t i o n d e f i n e d o n

t h e d o m a i n D_{f} = C a n d f (z) = c o s z

f o r z \in D_{f} . I s f (z) a m e m b e r

o f C ? C o m p u t e f o r e x a m p l e

f (2 + 6 i) .

Answered by 123456 last updated on 29/Sep/15

z = x + y ı, (x, y) \in R^{2}

\cos z = \cos x \cosh y - ı \sin x \sinh y

\sin (y ı) = ı \sinh y

\cos (y ı) = \cosh y

\dots . .

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