Twenty practice questions inverse trigo lecture 2 part 2

Twenty practice questions inverse trigo lecture 2 part 2

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Part - 2 Lecture - 2 Chapter 2 Inverse Trigonometric Functions

“If you want to achieve excellence, you can get there today. As of this second, quit doing less-than-excellent work.” –Thomas J. Watson

Booklets/Notes/Assignments are typed here on this website and their PDFs will be made available soon.

Summary of this lecture:
Revision of Ranges of Inverse Trigonometric Functions

20 Practice Questions from my booklet

Evaluate each of the following:

1. \(\sin ^{-1} \left(-\frac{\sqrt{3} }{2} \right)\)

2. \(\cot ^{-1} \left(\frac{-1}{\sqrt{3} } \right)\) (NCERT Example 2)

3. \(\tan ^{-1} \left(-\frac{1}{\sqrt{3} } \right)\)

4. \(\tan ^{-1}(1)+\cos ^{-1} \left(-\frac{1}{2} \right)+\sin ^{-1} \left(-\frac{1}{2} \right)\)

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5. \(\cos ^{-1} \left(\frac{1}{2} \right)+2\sin ^{-1} \left(\frac{1}{2} \right)\) (NCERT Exercise 2.2 Q12)

6. \(\tan ^{-1} \sqrt{3} -\sec ^{-1} (-2)\) (NCERT Exercise 2.2 Q14)

7. \(\sin ^{-1} \left(\sin \frac{4\pi }{5} \right)\)

8. \(\sin ^{-1} \left(\sin \frac{2\pi }{3} \right)\) (NCERT Exercise 2.2 Q16)

9. \(\tan ^{-1} \left(\tan \frac{3\pi }{4} \right)\) (NCERT Exercise 2.2 Q17)

10. \(\cos ^{-1} \left(\cos \frac{7\pi }{6} \right)\) (NCERT Exercise 2.2 Q19)

11. \(\sin \left(\frac{\pi }{3} -\sin ^{-1} \left(-\frac{1}{2} \right)\right)\) (NCERT Exercise 2.2 Q20)

12. \(\tan ^{-1} \sqrt{3} -\cot ^{-1} (-\sqrt{3} )\) (NCERT Exercise 2.2 Q21)

13. \(\csc ^{-1} (-2)\)

14. \(\sin ^{-1} \left(\sin \frac{3\pi }{5} \right)\) (NCERT Example 9)

16. \(\cos ^{-1} \left(\cos \frac{13\pi }{6} \right)\) (NCERT Miscellaneous Exercise Q1)

17. \(\tan ^{-1} \left(\tan \frac{7\pi }{6} \right)\) (NCERT Miscellaneous Exercise Q2)

18. \(\cos ^{-1} [\cos (-680{}^\circ )]\)

20. \(\tan ^{-1} \left(\tan \frac{5\pi }{6} \right)\)

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