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2. inverse trigonometric function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths2. inverse trigonometric function1 Mark
MCQ
Statement-$1$ : ${\cot ^{ - 1}}\left[ {\frac{{\log \left( {e/{x^2}} \right)}}{{\log \left( {e{x^2}} \right)}}} \right] + {\cot ^{ - 1}}\left[ {\frac{{\log (e{x^2})}}{{\log (e/{x^2})}}} \right]$ = $\frac {\pi}{2}$ 

Statement-$2$ : ${\tan ^{ - 1}}\left[ {\frac{{1 + \log {x^2}}}{{1 - \log {x^2}}}} \right]$ = ${\tan ^{ - 1}}\,1 + \,{\tan ^{ - 1}}\left( {\log {x^2}} \right)$

  • A
    Statement-$1$ is true, Statement-$2$ is true;Statement-$2$ is not the correct explanation of Statement-$1$ .
  • B
    Statement-$1$ is false, Statement-$2$ is true.
  • C
    Statement-$1$ is true, Statement-$2$ is false
  • ✓
    Statement-$1$ is true, Statement-$2$ is true;Statement-$2$ is the correct explanation of Statement-$1$ .
✓

Answer

Correct option: D.
Statement-$1$ is true, Statement-$2$ is true;Statement-$2$ is the correct explanation of Statement-$1$ .
d

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