HOTS Questions Inverse Trigonometric Functions Lecture 5

HOTS Questions Inverse Trigonometric Functions Lecture 5

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Part - 1 Lecture - 5 Chapter 2 Inverse Trigonometric Functions

परिंदों को मंज़िल मिलेगी यकीनन,
ये फैले हुए उनके पर बोलते हैं |
वो लोग रहते हैं ख़ामोश अक्सर,
ज़माने में जिनके हुनर बोलते हैं ||

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

Questions discussed in this lecture

Solve:
1. \(\tan ^{-1} \frac{x-1}{x-2} +\tan ^{-1} \frac{x+1}{x+2} =\frac{\pi }{4} \)
(NCERT Exercise 2.2 Q15)

2. \(\tan ^{-1} 2x+\tan ^{-1} 3x=\frac{\pi }{4} \)
(NCERT Example 13)

3. \(\tan ^{-1} (x+1)+\tan ^{-1} (x-1)=\tan ^{-1} \frac{8}{31} \)

4. \(2\tan ^{-1} (\cos x)=\tan ^{-1} (2, {\cosec}, x)\)
(NCERT Miscellaneous Exercise Q13)

5. \(\tan ^{-1} \frac{1-x}{1+x} =\frac{1}{2} \tan ^{-1} x, (x>0)\)

(NCERT Miscellaneous Exercise Q14)

6. \(\sin ^{-1} (1-x)-2\sin ^{-1} x=\frac{\pi }{2} \)
(NCERT Miscellaneous Exercise Q16)

7. \(\sin ^{-1} x+\sin ^{-1} (1-x)=\cos ^{-1} x\)

8. \(\sin ^{-1} 6x+\sin ^{-1} 6\sqrt{3} x=-\frac{\pi }{2} \)

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