First slide

Compound angles

Question

If $\tan A - \tan B = 2 \tan (A - B)$ then $A, B$ can be

Easy

A

$45 °, 15^{0}$
B

$20 °, 60 °$
C

$50 °, 40 °$
D

$22 ° \frac{1}{2}, 36 ° \frac{1}{2}$

Solution

$\begin{array}{l} W e h a v e \tan (A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B} \\ \Rightarrow \tan (A - B) = \frac{\tan A - \tan B}{1 + 1} (If A + B = 90 °) \\ \Rightarrow 2 \tan (A - B) = \tan A - \tan B \\ ∴ I n t h e g i v e n o p t i o n s A = 50 ° B = 40 ° \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App