Question

If $\theta$ is acute and $\cot \theta =12/5,$ then $\sin \theta +\cos \theta =$

• A. 17/12
• B. 12/13
• C. 17/13
• D. 1/12

Answer 1

Answer: (C)

Calculate hypotenuse by the pythagoras theorem it comes out to be 13
$\sin \theta =\frac{5}{13}and\cos \theta =\frac{12}{13}$

$sin\theta +cos\theta =\frac{17}{13}$