QuestionQuestion

Transcribed TextTranscribed Text

SECTION 2 HYPERBOLIC FUNCTIONS There are another group of trigonometric functions called Hyperbolic Functions. They are defined as follows: Hyperbolic sine: sinhx = 2 Hyperbolic cosine: cosh x . 2 tanh x - siabx = "-0" Hyperbolic tan: cosh * e***** Hyperbolic sec: sech: x - 1 coshe Hyperbolic cosec: esch x - 1 sinhx Hyperbolic cot coth x = tamb* QUESTION 5 (KAPS C.B., A) Evaluate the following integrals, expressing your answers in terms of hyperbolic functions. (a) / coshrux dx (b) / coth x dx (c) f sinhx cosh x dx (d) / sinhn x cosh nx ex (e)] sinh mx cosh nux dx QUESTION 6 (MAPSI B) You recently studied the Pythagorean identities involving cos e and sin 0, tan 0 and sec e, cosec e and cot 0. Develop a Pythagorean identity involving cosh e and sinh 0. Use this to find a relationship between tanh 0 and sech 0. QUESTION 7 (MAPS A) Consider the graph of y = cosh"³x A vertical line cuts the curve at the points A and B. Determine the coordinates of A and B if the tangents to the curve at these two points are perpendicular.

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.pdf.

    $10.00
    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available High School Math Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats