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Inverse Trigonometric Functions · Question 114 of 120

Question 114

HardOriginal question

What is the value of cot⁡−1(−1)+tan⁡−1(−1)\cot^{-1}(-1) + \tan^{-1}(-1)?

Options for question 114

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Take each principal value on its own branch.

  2. 3π4−π4=π2\frac{3\pi}{4} - \frac{\pi}{4} = \frac{\pi}{2}.

Worth noting

0 takes cot⁡−1(−1)\cot^{-1}(-1) as −π4-\frac{\pi}{4}, off its branch (0,π)(0, \pi).

Concept
Adding principal values
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.