Use Eqs (8 13) and (8 14) to prove the following identities for real variables a sin 2 u 1 2(1 cos(2u)) b cos u cos v 1 2(cos(u v) cos(u v)) sin x 1 21 1 COS X 2 (eix e ix) eix eix) (eix (8 13) (8 14)...

Use Eqs. (8.13) and (8.14) to prove the following identities for real variables. a. sin 2 u

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Use Eqs. (8.13) and (8.14) to prove the following identities for real variables. sin x = 1 21 1 COS X=- 2 (eix - e-ix) eix + eix) (eix (8.13) (8.14)

a. sin² u = 1/2(1 − cos(2u))

b. cos u cos v = 1/2(cos(u + v) + cos(u − v))

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Introduction To Actuarial And Financial Mathematical Methods

ISBN: 9780128001561

1st Edition

Authors: Stephen Garrett

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Use Eqs. (8.13) and (8.14) to prove the following identities for real variables. a. sin 2 u

Question:

sin x = 1 21 1 COS X=- 2 (eix - e-ix) eix + e¯ix) (eix (8.13) (8.14)

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a Using Eq 813 we proc...View the full answer

Introduction To Actuarial And Financial Mathematical Methods

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