AfterBoards Logo
Skip to main contentSkip to solution

CUET Mathematics 2022 PYQs16 July Shift 2. Free, no login required.

Geometry

past year questions, CUET Mathematics 2022 16 July Shift 2

Trigonometry

past year questions, Geometry, CUET Mathematics 2022 16 July Shift 2

Medium

The value of cosec−1(−2)−2sec⁡−1(−2)\text{cosec}^{-1}(-2) - 2\sec^{-1}(-2) is equal to:

Solution

✅ Correct Option: 4

csc⁡−1(−2)=−π/6\csc^{-1}(-2) = -\pi/6 since csc⁡(−π/6)=−2\csc(-\pi/6) = -2 and −π/6-\pi/6 is in principal range. sec⁡−1(−2)=2π/3\sec^{-1}(-2) = 2\pi/3 since sec⁡(2π/3)=−2\sec(2\pi/3) = -2. So expression =−π/6−2(2π/3)=−π/6−4π/3=−9π/6=−3π/2= -\pi/6 - 2(2\pi/3) = -\pi/6 - 4\pi/3 = -9\pi/6 = -3\pi/2.

Related questions:

2022: 17 Aug Shift 2

The value of sin⁡[π2−sin⁡−1(−32)]\sin\left[\frac{\pi}{2} - \sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\right] is :

2025: 19 May Shift 1

The maximum value of sin⁡x⋅cos⁡x\sin x \cdot \cos x is:

2022: 25 May Shift 1

Match List I with List II

LIST ILIST II
A. sin⁡−1x+cos⁡−1x,x∈[−1,1]\sin^{-1} x + \cos^{-1} x, x \in [-1,1]I. −π2-\frac{\pi}{2}
B. tan⁡−13−cot⁡−1(−3)\tan^{-1} \sqrt{3} - \cot^{-1}(-\sqrt{3})II. −π6-\frac{\pi}{6}
C. cos⁡−1(cos⁡13π6)\cos^{-1}\left(\cos\frac{13\pi}{6}\right)III. π2\frac{\pi}{2}
D. sin⁡−1(−12)\sin^{-1}\left(-\frac{1}{2}\right)IV. π6\frac{\pi}{6}

Choose the correct answer from the options given below:

2023: 23 May Shift 3

The principal value of cot⁡−1(−13)\cot^{-1}\left(-\frac{1}{\sqrt{3}}\right)

2026: 18 May Shift 2

Match the LIST-I with LIST-II

LIST-I FunctionsLIST-II Principal value
A. sin⁡−1(12)\sin^{-1}\left(\dfrac{1}{2}\right)I. π4\dfrac{\pi}{4}
B. sin⁡−1(−12)\sin^{-1}\left(-\dfrac{1}{\sqrt{2}}\right)II. π6\dfrac{\pi}{6}
C. tan⁡−1(1)\tan^{-1}(1)III. −π4-\dfrac{\pi}{4}
D. cos⁡−1(−12)\cos^{-1}\left(-\dfrac{1}{2}\right)IV. 2π3\dfrac{2\pi}{3}

Choose the correct answer from the options given below:

2022: 30 Aug Shift 1

The value of sin⁡[2cot⁡−1(−512)]\sin\left[2\cot^{-1}\left(\frac{-5}{12}\right)\right] is :

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question

CUET Mathematics Past Year Questions (Topic-Wise)