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GUJCET · Maths · Inverse Trigonometric Functions

\(\triangle \mathrm{ABC}\) મi \(\mathrm{A}=\tan ^{-1} 2\) અને \(\mathrm{B}=\tan ^{-1} 3\) હોય, તો \(\mathrm{C}=\)

  1. A \(30^{\circ}\)
  2. B \(45^{\circ}\)
  3. C \(60^{\circ}\)
  4. D \(90^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(45^{\circ}\)

Step-by-step Solution

Detailed explanation

\(A+B+C = 180^{\circ}\) \(A+B = \tan^{-1} 2 + \tan^{-1} 3 = \pi + \tan^{-1}\left(\frac{2+3}{1-(2)(3)}\right)\)
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