Fungsi Eksponensial dan Trigonometri Bentuk lain dari e adalah: e=etiy= e ey = e* ( cos y + i sin y) Contoh !e2-i Note:cos(-0) = cose dan sin(-0) = -sin e =cos e + i sin e-18=cos e-i sin Tentukanlah hasil dari ee-e-ie dan ef+ e-ie 16 Fungsi Trigonometri Bilangan Kompleks sin --e- COs- e-i Tentukanlah nilai dari: COsi= /7i,e-tm/2 _=-i,en 2 - 2,ein 2 Buktikan sin z+ cos2 z 1 Fungsi Hiperbolik Tentukan persamaan dari sin iy dan cos iy dengan menggunakan persamaan sebelumnya! Setelah didapat persamaan di atas, baru lah di dapat fungsi yang dinamakan dengan sinus dan cosinus hiperbolik. Secara matematis dapat ditulis Y e+e ;cosh z = 2 sinh z = Buktikan cosh z -sinh2 z 1 ogaritma

Fungsi Eksponensial dan Trigonometri Bentuk lain dari e adalah: e=etiy= e ey = e* ( cos y + i sin y) Contoh !e2-i Note:cos(-0) = cose dan sin(-0) = -sin e =cos e + i sin e-18=cos e-i sin Tentukanlah hasil dari ee-e-ie dan ef+ e-ie 16 Fungsi Trigonometri Bilangan Kompleks sin --e- COs- e-i Tentukanlah nilai dari: COsi= /7i,e-tm/2 _=-i,en 2 - 2,ein 2 Buktikan sin z+ cos2 z 1 Fungsi Hiperbolik Tentukan persamaan dari sin iy dan cos iy dengan menggunakan persamaan sebelumnya! Setelah didapat persamaan di atas, baru lah di dapat fungsi yang dinamakan dengan sinus dan cosinus hiperbolik. Secara matematis dapat ditulis Y e+e ;cosh z = 2 sinh z = Buktikan cosh z -sinh2 z 1 ogaritma

Name: Prove from the questions in the blue circle Fungsi Eksponensial dan Tr
Uploaded: 2024-03-05T11:53:49.000Z
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Description: Prove from the questions in the blue circle Fungsi Eksponensial dan TrigonometriBentuk lain dari e adalah:e=etiy= e ey = e* ( cos y + i sin y)Contoh !e2-iNote:cos(-0) = cose dan sin(-0) = -sine=cos e + i sine-18=cos e-i sinTentukanlah hasil dari ee-e

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Question

Prove from the questions in the blue circle

Fungsi Eksponensial dan Trigonometri
Bentuk lain dari e adalah:
e=etiy= e ey = e* ( cos y + i sin y)
Contoh !e2-i
Note:cos(-0) = cose dan sin(-0) = -sin
e
=cos e + i sin
e-18=cos e-i sin
Tentukanlah hasil dari ee-e-ie dan ef+ e-ie
16
Fungsi Trigonometri Bilangan Kompleks
sin --e-
COs- e-i
Tentukanlah nilai dari:
COsi=
/7i,e-tm/2 _=-i,en 2 - 2,ein 2
Buktikan sin z+ cos2 z 1
Fungsi Hiperbolik
Tentukan persamaan dari sin iy dan cos iy dengan menggunakan
persamaan sebelumnya!
Setelah didapat persamaan di atas, baru lah di dapat fungsi yang
dinamakan dengan sinus dan cosinus hiperbolik. Secara matematis
dapat ditulis
Y
e+e
;cosh z =
2
sinh z =
Buktikan cosh z -sinh2 z 1
ogaritma

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