NCERT Miscellaneous Exercise Solutions Chapter 2 Inverse Trigonometric Functions

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Monday, December 28, 2020

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NCERT Miscellaneous Exercise Class 12 Maths Chapter 2 Inverse Trigonometric Functions

Question-1. \cos^{-1}\cos⁡\frac{13\pi}{6}  

Question-2. \tan^{-1}⁡\tan\frac⁡{7\pi}{6}

Question-3. 2 \sin^{-1}\frac{3}{5}= \tan^{-1}\frac{24}{7}

Question-4. \sin^{-1}⁡\frac{8}{17}+\sin^{-1}\frac{⁡3}{5}=\tan^{-1}\frac{⁡77}{36}

Question-5. \cos^{-1}\frac{⁡4}{5}+\cos^{-1}\frac{⁡12}{13}=\cos^{-1}\frac{⁡33}{65} 

Question-6. \cos^{-1}\frac{⁡12}{13}+\sin^{-1}\frac{⁡3}{5}=\sin^{-1}\frac{⁡56}{65} 

Question-7. \tan^{-1}\frac{⁡63}{16}=\sin^{-1}⁡\frac{5}{13}+\cos^{-1}\frac{⁡3}{5} 

Question-8. \tan^{-1}\frac{⁡1}{5}+\tan^{-1}\frac{⁡1}{7}+\tan^{-1}⁡\frac{1}{3}+\tan^{-1}⁡\frac{1}{8}=\frac{\pi}{4} 

Question-9. \tan^{-1}⁡\sqrt{x}=\frac{1}{2} \cos^{-1}⁡\frac{1-x}{1+x},x \in 0,1 

Question-10. cot^{-1}⁡\left ( \frac{\sqrt{1+\sin ⁡x }+\sqrt{1-\sin⁡x }}{\sqrt{1+\sin⁡ x }-\sqrt{1-\sin⁡x}} \right )=\frac{x}{2}

Question-11. \tan^{-1}⁡\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}=\frac{\pi}{4}-\frac{1}{2} \cos^{-1}⁡x

Question-12. \frac{9\pi}{8}-\frac{9}{4} \sin^{-1}\frac{⁡1}{3}=\frac{9}{4} \sin^{-1}⁡\frac{2\sqrt{2}}{3} 

Question-13. 2 \tan^{-1}⁡{ \cos⁡x}=\tan^{-1}⁡{ 2\cosec x} 

Question-14. \tan^{-1}⁡\frac{1-x}{1+x}=\frac{1}{2} \tan^{-1}⁡x,

Question-15. \sin⁡(\tan^{-1}⁡x),

Question-16. \sin^{-1}(1-x)-2 \sin^{-1}⁡x=\frac{\pi}{2} 

Question-17. \tan^{-1}\frac⁡{x}{y} -\tan^{-1}⁡\frac{x-y}{x+y}

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Ch2. Inverse Trigonometric Functions

In this self study course, you will learn definition, range, domain, principal value branch, graphs of inverse trigonometric functions and elementary properties of inverse trigonometric functions. For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that has questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

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