16-18. Verifying identities Use the given identity to verify the related identity. 16. Use the fundamental identity cosh?x – sinh? x = 1 to verify the identity coth? x -1 = csch? x. 17. Use the identity cosh 2r = cosh? x + sinh?x to verify the identities cosh?x = cosh 2x + 1 2 cosh 2r – 1 - and sinh²x 2 18. Use the identity cosh(x + y) = cosh x cosh y + sinh x sinh y to verify the identity cosh 2x = cosh? x + sinh? x.
16-18. Verifying identities Use the given identity to verify the related identity. 16. Use the fundamental identity cosh?x – sinh? x = 1 to verify the identity coth? x -1 = csch? x. 17. Use the identity cosh 2r = cosh? x + sinh?x to verify the identities cosh?x = cosh 2x + 1 2 cosh 2r – 1 - and sinh²x 2 18. Use the identity cosh(x + y) = cosh x cosh y + sinh x sinh y to verify the identity cosh 2x = cosh? x + sinh? x.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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