Solution Found!
Values and IdentitiesProve the identitiessinh (x + y) =
Chapter 7, Problem 11E(choose chapter or problem)
QUESTION:
Problem 11E
Values and Identities
Prove the identities
sinh (x + y) = sinh x cosh y + cosh x sinh y,
cosh (x + y) = cosh x cosh y + sinh x sinh y.
Then use them to show that
a. sinh 2x = 2 sinh x cosh x.
b. cosh 2x = cosh2 x + sinh2 x.
Questions & Answers
QUESTION:
Problem 11E
Values and Identities
Prove the identities
sinh (x + y) = sinh x cosh y + cosh x sinh y,
cosh (x + y) = cosh x cosh y + sinh x sinh y.
Then use them to show that
a. sinh 2x = 2 sinh x cosh x.
b. cosh 2x = cosh2 x + sinh2 x.
ANSWER:
Solution:
Step 1 of 4:
In this problem, we need to prove the given identities.