Question:
The value of the expression sin \([cot^{-1}(cos (tan^{-1}1))]\) is:
The value of the expression sin \([cot^{-1}(cos (tan^{-1}1))]\) is:
Updated On: May 18, 2024
- \(\sqrt{\frac{2}{3}}\)
- \(\frac{\sqrt{2}}{3}\)
- \(\frac{2}{\sqrt{3}}\)
- 1
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is (A): \(\sqrt{\frac{2}{3}}\)
Was this answer helpful?
0
0
Top Questions on Inverse Trigonometric Functions
- If \(\tan^{-1}\left(\frac{2}{3 - x + 1}\right) = \cot^{-1}\left(\frac{3}{3x + 1}\right)\), then which one of the following is true?
- CUET (UG) - 2024
- Mathematics
- Inverse Trigonometric Functions
- The value of \(cos^{-1}(cos(\dfrac{7\pi}{4}))\) is
- KEAM - 2023
- Mathematics
- Inverse Trigonometric Functions
- The value of \(\tan^{-1}(√3)-\sec^{-1}(\dfrac{2}{√3})\) is ?
- KEAM - 2023
- Mathematics
- Inverse Trigonometric Functions
- The value of \(\tan^{-1}(\dfrac{1}{2})+\tan^{-1}(\dfrac{2}{5})\) is ?
- KEAM - 2023
- Mathematics
- Inverse Trigonometric Functions
- Let \(tan^{-1}y=tan^{-1}x+tan^{-1}(\frac{2x}{1-x^2})\). Then y is:
- CUET (UG) - 2023
- Mathematics
- Inverse Trigonometric Functions
View More Questions
Questions Asked in CUET exam
- Who devised the concept of Intelligence Quotient (IQ)?
- CUET (UG) - 2024
- Psychological attributes
- As per data collected in 2011, arrange the following Indian states in terms of child sex-ratio from lowest to highest:
(A) Punjab
(B) Haryana
(C) Tamil Nadu
(D) Sikkim
Choose the correct answer from the options given below:- CUET (UG) - 2024
- Social Inequality and Exclusion
- A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:- CUET (UG) - 2024
- Solutions
- If \(A = \begin{bmatrix} 3 & 2 \\ -1 & 1 \end{bmatrix} \quad \text{and} \quad B = \begin{bmatrix} -1 & 0 \\ 2 & 5 \\ 3 & 4 \end{bmatrix},\)then \((BA)^T\) is equal to:
- CUET (UG) - 2024
- Matrices
- Two resistances of 100 \(\Omega\) and 200 \(\Omega\) are connected in series across a 20 V battery as shown in the figure below. The reading in a 200 \(\Omega\) voltmeter connected across the 200 \(\Omega\) esistance is _______.
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Current electricity
View More Questions