Precalculus · Chapter 3 · Lesson 3.15 · Printable PDF

Periodicity and the Periodicity Identities Worksheet with Answer Key

7 problems on periodicity and the periodicity identities. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Periodicity and the periodicity identities worksheet with answer key - Precalculus (Page 1 PDF preview)
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What's on the worksheet

  1. Simplify each expression to a single trig function of t (or of θ), with its sign.
    \sin(t + 6\pi)\cos(t - 10\pi)\tan(t - 3\pi)\cot(t + 7\pi)\sec(t + 5\pi)
  2. Decide whether $f(t + p) = f
    f(t) = \sin t, p = 3\pif(t) = \cot t, p = 4\pif(t) = \csc t, p = 5\pif(t) = \tan t, p = \dfrac{3\pi}{2}f(t) = \cos t, p = 2
  3. An angle a has a = 941 and a = 4041.
  4. Simplify each expression to a single trig function, and say for which t (or θ) your result holds.
  5. Luis simplifies two expressions.
  6. Let $f

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Periodicity and the periodicity identities: the lesson ›