Triggo-Triggi

Geometry Level 2

Find the value of :

$\tan20^\circ+2\tan50^\circ$

\tan45^\circ

\tan50^\circ

None of these

\tan90^\circ

\tan70^\circ

2 solutions

Siddharth Singh
Jul 4, 2015

$tan 70^\circ=tan(20^\circ+50^\circ)$

$tan 70^\circ=\frac{tan 20^\circ+tan 50^\circ}{1-tan 20^\circ*tan 50^\circ}$

$tan 70^\circ-tan 20^\circ.tan 50^\circ.tan 70^\circ=tan 20^\circ+tan 50^\circ$

$tan 20^\circ*tan 70^\circ=1$

$tan 70^\circ-tan 50^\circ=tan 20^\circ+tan 50^\circ$

$2.tan 50^\circ+tan 20^\circ=tan 70^\circ$

汶良林
Jul 4, 2015

Write a solution.