Inverse reciprocal trigonometric function: finding the exact value

Lessons

• Introduction
  Introduction to Inverse Reciprocal Trigonometric Function: Finding the Exact Value

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• 1.
  Application of the Cancellation Laws

  Solve the following inverse trigonometric functions:

  a)

  $\sec^{-1} (\sec \frac{\pi}{3})$
  
  
  b)

  $\cot (\cot^{-1} 5)$
  
  
  c)

  $\csc (\csc^{-1} \frac{1}{2})$
  
  

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• 2.
  Solving Expressions With One Inverse Trigonometry

  Solve the following inverse trigonometric functions:

  a)

  $\csc^{-1} \sqrt 2$
  
  
  b)

  $\sec^{-1} \frac{1}{3}$
  
  

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• 3.
  Evaluating Expressions With a Combination of Inverse and Non-Inverse Trigonometry

  Solve the following inverse trigonometric functions:

  a)

  $\sec (\cot^{-1} \frac{1}{\sqrt 3})$
  
  
  b)

  $\cot (\sin^{-1} \frac{1}{3})$
  
  
  c)

  $\csc (\arctan 3x)$
  
  
  d)

  $\csc (\cos^{-1} \frac{x}{\sqrt{x^{2} + 16}})$
  
  

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