The value of t a n ( t a n − 1 1 2 − t a n − 1 1 3 ) = Options: A . &nbsp 5 6 B . &nbsp 7 6 C . &nbsp 1 6 D . &nbsp 1 7

Answer: Option D : D t a n [ t a n − 1 1 2 − t a n − 1 1 3 ] = t a n [ t a n − 1 1 2 − 1 3 1 + 1 6 ] = t a n t a n − 1 ( 1 6 × 6 7 ) = 1 7

The value of tan(tan−112−tan−113)=

Question -

The value of $t a n (t a n^{- 1} \frac{1}{2} - t a n^{- 1} \frac{1}{3})$ =

Options:

A .

\frac{5}{6}

B .

\frac{7}{6}

C .

\frac{1}{6}

D .

\frac{1}{7}

Answer: Option D
:
D

t a n [t a n^{- 1} \frac{1}{2} - t a n^{- 1} \frac{1}{3}] = t a n [t a n^{- 1} \frac{\frac{1}{2} - \frac{1}{3}}{1 + \frac{1}{6}}]

= t a n t a n^{- 1} (\frac{1}{6} \times \frac{6}{7}) = \frac{1}{7}

Was this answer helpful ?

Next Question