A value of tan−1⁡sin⁡cos−1⁡23, is

# A value of ${\mathrm{tan}}^{-1}\left\{\mathrm{sin}\left({\mathrm{cos}}^{-1}\sqrt{\frac{2}{3}}\right)\right\}$, is

1. A

$\mathrm{\pi }/4$

2. B

$\mathrm{\pi }/2$

3. C

$\mathrm{\pi }/3$

4. D

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

${\mathrm{tan}}^{-1}\left\{\mathrm{sin}\left({\mathrm{cos}}^{-1}\sqrt{\frac{2}{3}}\right)\right\}$

$={\mathrm{tan}}^{-1}\left\{\mathrm{sin}\left({\mathrm{sin}}^{-1}\sqrt{\frac{1}{3}}\right)\right\}={\mathrm{tan}}^{-1}\frac{1}{\sqrt{3}}=\frac{\pi }{6}$

## Related content

 CBSE Class 6 Maths Important Topics Best Online Science Tuition For Class 6 CBSE Syllabus for Class 2 Hindi Updated 2023-24 CBSE Worksheets for Class 6 Maths CBSE Board Exam 2024 Begin: Check Guidelines And Instructions CBSE Class 11 Economics Syllabus CBSE Syllabus for Class 1 EVS Updated 2023-24 CBSE Class 11 Business Studies Syllabus 2023-24 CBSE Class 11 Accountancy Syllabus CBSE Asks Schools to Send Observations on Board Exam Question Papers

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)