In a triangle $t a n A + t a n B + t a n C = 6$ and $t a n A t a n B = 2$ , then the values of $t a n A$ , $t a n B$ and $t a n C$ are

1, 2, 3

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

2, 1, 3

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

1, 2, 0

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

none of these

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

Open in App

Solution

The correct options are
A
1, 2, 3

B
2, 1, 3

In a triangle
$t a n A + t a n B + t a n C = t a n A t a n B t a n C$
or $6 = 2 t a n C$
$∴ t a n C = 3$
$∴ t a n A + t a n B = 3, t a n A t a n B = 2$
$∴ t a n A = 1 or 2$
and $t a n B = 2 or 1$

Suggest Corrections

Similar questions

In a triangle ABC, tan A + tan B +tan C = 6 and tan A $\times$ tan B = 2, then the value of tan A, tan B and tan C are

A B C, tan A + tan B + tan C = 6

tan A tan B = 2

In a triangle tan A + tan B + tan C =

Δ A B C, t a n A + t a n B + t a n C = 6

tan A + tan B + tan C = 3 \sqrt{3}

Δ A B C

tan A + tan B + tan C = tan A tan B tan C

Join BYJU'S Learning Program