The value of tan $130^{o}$ tan $140^{o}$ is equal to

- 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 / \sqrt{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 + \sqrt{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $1$
$t a n (270) = t a n (130 + 140)$

$\Rightarrow t a n (180 + 90) = \frac{t a n (130) + t a n (140)}{1 - t a n (130) . t a n (140)}$

$\Rightarrow \frac{1}{0} = \frac{t a n (130) + t a n (140)}{1 - t a n (130) . t a n (140)}$

$\Rightarrow 1 - t a n (130) . t a n (140) = 0$

$\Rightarrow t a n (130) . t a n (140) = 1$

Suggest Corrections

Similar questions

{tan}^{- 1} 2 + {tan}^{- 1} 3 + {tan}^{- 1} 4

(1 + tan 1^{o}) (1 + tan 2^{o}) (1 + tan 3^{o}) . . . . . . . . . . . . (1 + tan 45^{o})

({tan}^{- 1} π + {tan}^{- 1} (\frac{1}{π})) + {tan}^{- 1} \sqrt{3} - {sec}^{- 1} (- 2)

{tan}^{- 1} (\frac{\sqrt{3}}{2}) + {tan}^{- 1} (\frac{1}{\sqrt{3}})

x

{tan}^{- 1} x + {tan}^{- 1} (\frac{2}{3}) = {tan}^{- 1} (\frac{7}{4})

Join BYJU'S Learning Program