Precalculus · Chapter 5 · Lesson 5.2 · Printable PDF

Reciprocal and Quotient Identities Worksheet with Answer Key

7 problems on reciprocal and quotient identities. 2 pages, with a worked answer key.

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

  1. Write each expression as a single trigonometric function, a power of one, or a number.
    \dfrac{\tan x}{\sin x}\sec x \cos^2 x\cot x \csc x \sin^2 x\tan^2 x \cot x\cot^2 x \sec^2 x
  2. Solve each equation for 0 ≤ x < 2π.
    \tan x \csc x = -\sqrt{2}\tan x \cot x = \cos x\dfrac{\sec x}{\tan x} = 2
  3. An angle θ has θ = 135 and θ = - 1312.
  4. An angle θ has θ = 23 and θ = -2√(5)5.
  5. Write a product or quotient of two of the six trigonometric functions whose graph is
  6. In radian mode a calculator screen shows 2 -2.185040 and 2 -0.416147.

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Reciprocal and quotient identities: the lesson ›