Ncert exemplar class 12 maths solutions pdf

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 8 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Find the value of \[ \sin \left( 2\tan^{-1}\frac{1}{3} \right) + \cos \left( \tan^{-1} 2\sqrt{2} \right) \] [NCERT Ex 2.3, Question 8, Page 36] Free Online Tests Video Tutorials Solution We have: \[ \sin \left( …

Find the value of sin(2 tan⁻¹(1/3)) + cos(tan⁻¹ 2√2) | NCERT Class 12 Maths Ex 2.3 Q8 Read More »

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 7 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Find the real solution of \[ \tan^{-1}\sqrt{x(x+1)} + \sin^{-1}\sqrt{x^2 + x + 1} = \frac{\pi}{2} \] [NCERT Ex 2.3, Question 7, Page 36] Free Online Tests Video Tutorials Solution Given: \[ \tan^{-1}\sqrt{x(x+1)} + \sin^{-1}\sqrt{x^2 …

Find the real solution of tan⁻¹√[x(x+1)] + sin⁻¹√(x²+x+1) = π/2 | NCERT Class 12 Maths Ex 2.3 Q7 Read More »

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 6 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Show that \[ 2\tan^{-1}(-3) = -\frac{\pi}{2} + \tan^{-1}\left(\frac{-4}{3}\right) \] [NCERT Ex 2.3, Question 6, Page 35] Free Online Tests Video Tutorials Solution LHS: \[ 2\tan^{-1}(-3) = -2\tan^{-1}(3) \] Case Studies Free Study Material \[ …

Show that 2 tan⁻¹(−3) = −π/2 + tan⁻¹(−4/3) | NCERT Class 12 Maths Ex 2.3 Q6 Read More »

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 5 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Find the value of \[ \tan^{-1}\left(\tan \frac{2\pi}{3}\right) \] [NCERT Ex 2.3, Question 5, Page 35] Free Online Tests Video Tutorials Solution We have: \[ \tan^{-1}\left(\tan \frac{2\pi}{3}\right) = \tan^{-1}\left(\tan\left(\pi – \frac{\pi}{3}\right)\right) \] Case Studies Free …

Find the value of tan⁻¹(tan(2π/3)) | NCERT Class 12 Maths Ex 2.3 Q5 Read More »

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 4 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Find the value of \[ \tan^{-1}\left(-\frac{1}{\sqrt{3}}\right) + \cot^{-1}\left(\frac{1}{\sqrt{3}}\right) + \tan^{-1}\left[\sin\left(-\frac{\pi}{2}\right)\right] \] [NCERT Ex 2.3, Question 4, Page 35] Free Online Tests Video Tutorials Solution We have: \[ \tan^{-1}\left(-\frac{1}{\sqrt{3}}\right) + \cot^{-1}\left(\frac{1}{\sqrt{3}}\right) + \tan^{-1}\left[\sin\left(-\frac{\pi}{2}\right)\right] \] Case …

Find the value of tan⁻¹(−1/√3) + cot⁻¹(1/√3) + tan⁻¹(sin(−π/2)) | NCERT Class 12 Maths Ex 2.3 Q4 Read More »

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 3 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Prove that \[ \cot\left(\frac{\pi}{4} – 2\cot^{-1}3\right) = 7 \] [NCERT Ex 2.3, Question 3, Page 35] Free Online Tests Video Tutorials Solution We have to prove: \[ \cot\left(\frac{\pi}{4} – 2\cot^{-1}3\right) = 7 \] Case …

Prove that cot(π/4 − 2 cot⁻¹3) = 7 | NCERT Class 12 Maths Ex 2.3 Q3 Read More »

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 2 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Evaluate \[ \cos\left[\cos^{-1}\left(\frac{-\sqrt{3}}{2}\right) + \frac{\pi}{6}\right] \] [NCERT Ex 2.3, Question 2, Page 35] Free Online Tests Video Tutorials Solution We have, \[ \cos\left[\cos^{-1}\left(\frac{-\sqrt{3}}{2}\right) + \frac{\pi}{6}\right] = \cos\left[\cos^{-1}\left(\cos\frac{5\pi}{6}\right) + \frac{\pi}{6}\right] \] Case Studies Free Study …

NCERT Class 12 Maths: Evaluate cos[cos⁻¹(−√3/2) + π/6] Read More »

NCERT Class 12 Mathematics Solutions – Exercise 2.3 Question 1 NCERT Class 12 Maths | Chapter 2 Inverse Trigonometric Functions Question Find the value of \[ \tan^{-1}\left(\tan \frac{5\pi}{6}\right) + \cos^{-1}\left(\cos \frac{13\pi}{6}\right) \] [NCERT Ex 2.3, Question 1, Page 35] Free Online Tests Video Tutorials Solution We know that: \[ \tan^{-1}(\tan x) = x,\; x \in …

Find the value of tan inverse of tan 5π/6 plus cos inverse of cos 13π/6 Read More »