Question

If cot$A=\frac{12}{5},$ then the value of $(sinA+cosA)\times cosecA$ is :

• A. $\frac{13}{5}$
• B. $\frac{17}{5}$
• C. $\frac{14}{5}$
• D. 1

Answer 1

The correct option is B $\frac{17}{5}$

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

$\Rightarrow (\sin A+\cos A)\times coescA=\sin A.cosecA+\cos A.cosecA$

$=1+\cot A$

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

$=\frac{17}{5}$

Hence, the answer is $\frac{17}{5}.$