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Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsTrigonometric Functions2 Marks
MCQ
$\tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{2}{11}=$
  • A
    $\tan ^{-1}\left(\frac{1}{3}\right)$
  • B
    $\tan ^{-1}\left(\frac{4}{3}\right)$
  • ✓
    $\tan ^{-1}\left(\frac{3}{4}\right)$
  • D
    $\tan ^{-1}\left(\frac{1}{5}\right)$
✓

Answer

Correct option: C.
$\tan ^{-1}\left(\frac{3}{4}\right)$
(C) $\tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{2}{11}=\tan ^{-1} \frac{\frac{1}{2}+\frac{2}{11}}{1-\frac{1}{2} \times \frac{2}{11}}$
$=\tan ^{-1} \frac{15}{20}=\tan ^{-1} \frac{3}{4}$

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