Question

If $\text{cos}\text{A =}\frac{\text{7}}{\text{25}}\text{,}$ find the value of $\text{tan}\text{A + cot}\text{A}$

Answer 1

$\cos A=\frac{7}{25}=\frac{Base}{Hypotenuse}$

Then perpendicular$=\sqrt{Hypotenus{e}^2-Bas{e}^2}$

$=\sqrt{625-49}$

$=\sqrt{576}$

$=24$

$\therefore \tan A+\cot A=\frac{24}{7}+\frac{7}{24}=\frac{576+49}{168}=\frac{625}{168}$.