The value of t a n ( t a n − 1 1 2 − t a n − 1 1 3 ) = Options: A . &nbsp56 B . &nbsp76 C . &nbsp16 D . &nbsp17

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 . 56

B . 76

C . 16

D . 17

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}

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