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Inverse Trigonometric Functions · Question 111 of 120

Question 111

HardOriginal question

What is cos⁡−1(cos⁡7π6)\cos^{-1}\left(\cos \frac{7 \pi}{6}\right)?

Options for question 111

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. cos⁡7π6=−32\cos \frac{7 \pi}{6} = - \frac{\sqrt{3}}{2}.

  2. The principal value with that cos is 5π6\frac{5 \pi}{6}.

Worth noting

7π6\frac{7\pi}{6} is more than π\pi, off the branch of cos⁡−1\cos^{-1}.

Concept
An inverse function applied to a function
Typical time
120 s
Your time
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The rule this testsValues of expressions
Practise this chapter →

Ten questions from Inverse Trigonometric Functions, at your own pace.

Practise this chapter →

Ten questions from Inverse Trigonometric Functions, at your own pace.