Question

If $\tan \theta =\frac{12}{5}$ then $5\sin \theta -12\cos \theta =$.........

• A. 17
• B. 0
• C. 1
• D. $\frac{1}{13}$

Answer 1

The correct option is B 0

Given $\tan \theta =\frac{12}{5}⟹\sin \theta =\frac{12}{13}$

And also $\cos \theta =\frac{5}{13}$

$5\sin \theta -12\cos \theta =5\times \frac{12}{13}-12\times \frac{5}{13}=\frac{60}{13}-\frac{60}{13}=0$