Question

If $\tan A=\frac{5}{12}$, find the value of $(\sin A+\cos A)\times \sec A$:

• A. $\frac{6}{13}$
• B. $\frac{7}{12}$
• C. $\frac{17}{12}$
• D. $\frac{12}{17}$

Answer 1

The correct option is C $\frac{17}{12}$

$\tan A=\frac{5}{12}$

$(\sin A+\cos A)\times \sec A$

$=\sin A.\sec A+\cos A.\sec A$

$=\tan A+1$

$=\frac{5}{12}+1$

$=\frac{17}{12}$