Select Goal &
City
Select Goal
Explore
Question:
Principal value of \(\tan^{-1}(\sqrt3)+\tan^{-1}(1)\) is :
Principal value of \(\tan^{-1}(\sqrt3)+\tan^{-1}(1)\) is :
Updated On: Jun 13, 2024
- \(\frac{\pi}{12}\)
- \(\frac{\pi}{4}\)
- \(-\frac{\pi}{12}\)
- \(\frac{\pi}{2}\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C) :\(-\frac{\pi}{12}\).
Was this answer helpful?
0
0
Top Questions on Inverse Trigonometric Functions
- Let the inverse trigonometric functions take principal values. The number of real solutions of the equation \[ 2 \sin^{-1} x + 3 \cos^{-1} x = \frac{2\pi}{5}, \] is ______ .
- JEE Main - 2024
- Mathematics
- Inverse Trigonometric Functions
- If the domain of the function \[\sin^{-1} \left( \frac{3x - 22}{2x - 19} \right) + \log_e \left( \frac{3x^2 - 8x + 5}{x^2 - 3x - 10} \right)\] is \( (\alpha, \beta] \), then \( 3\alpha + 10\beta \) is equal to:
- JEE Main - 2024
- Mathematics
- Inverse Trigonometric Functions
- Considering only the principal values of inverse trigonometric functions, the number of positive real values of \( x \) satisfying \[ \tan^{-1}(x) + \tan^{-1}(2x) = \frac{\pi}{4} \] is:
- JEE Main - 2024
- Mathematics
- Inverse Trigonometric Functions
- If \(a=sin^{-1}(sin\ 5)\) and \(b=cos^{-1}(cos\ 5)\), then \(a^2+b^2=\)
- JEE Main - 2024
- Mathematics
- Inverse Trigonometric Functions
- Considering only the principal values of the inverse trigonometric functions, the value of
\(\tan(\sin^{-1}(\frac{3}{5})-2\cos^{-1}(\frac{2}{\sqrt5}))\)
is- JEE Advanced - 2024
- Mathematics
- Inverse Trigonometric Functions
View More Questions
Questions Asked in CUET exam
- Formaldehyde undergoes Cannizzaro reaction because
(A) It has alpha-hydrogen atom.
(B) It does not have alpha-hydrogen atom.
(C) It does not undergo self-oxidation and reduction on heating with concentrated alkali.
(D) It undergoes self-oxidation and reduction on heating with concentrated alkali.- CUET (UG) - 2024
- Redox Reactions
- For predicting the straight-line trend in the sales of washing machines (in thousands) on the basis of 8 consecutive years' data, the company calculates 4-year moving averages. If the sales of washing machines for respective years are \( a, b, c, d, e, f, g, \) and \( h \), then which of the following averages will be computed?
(A) \( \frac{a + b + c + d}{4} \)
(B) \( \frac{a + c + d + e}{4} \)
(C) \( \frac{c + d + f + h}{4} \)
(D) \( \frac{b + c + d + e}{4} \)
Choose the correct answer from the options given below: - If \( A = \begin{bmatrix} 5 & 1 \\ -2 & 0 \end{bmatrix} \) and \( B^T = \begin{bmatrix} 1 & 10 \\ -2 & -1 \end{bmatrix} \), then the matrix \( AB \) is:
- CUET (UG) - 2024
- Matrices
- The correct solution of \(-22 < 8x - 6 \leq 26\) is the interval:
- CUET (UG) - 2024
- Number Systems
- Vibhuti bought a car worth ₹10,25,000 and made a down payment of ₹4,00,000. The balance is to be paid in 3 years by equal monthly installments at an interest rate of 12% p.a. The EMI that Vibhuti has to pay for the car is:
(Use \( (1.01)^{-36} = 0.7 \))- CUET (UG) - 2024
- Simple Interest
View More Questions
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved