EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Inverse Trigonometric Functions · Question 86 of 120

Question 86

EasyOriginal question

What is the value of 2sin⁡−1(12)+cos⁡−1(−12)2\sin^{-1}\left(\frac{1}{2}\right) + \cos^{-1}\left(-\frac{1}{2}\right)?

Options for question 86

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 2×π6=π32 \times \frac{\pi}{6} = \frac{\pi}{3} and cos⁡−1(−12)=2π3\cos^{-1}\left(-\frac{1}{2}\right) = \frac{2\pi}{3}.

  2. π3+2π3=π\frac{\pi}{3} + \frac{2\pi}{3} = \pi.

Worth noting

0 takes cos⁡−1(−12)\cos^{-1}\left(-\frac{1}{2}\right) as −π3-\frac{\pi}{3}.

Concept
Adding principal values
Typical time
60 s
Your time
—
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.