Question

If $cosA=\frac{7}{25},$ find the value of $tanA+cotA$. .

Answer 1

$cosA=\frac{7}{25}$

Therefore,

Base $=7$ and Hypotenuse $=25$

Therefore, Perpendicular $=\sqrt{{25}^2-7^2}=\sqrt{625-49}=\sqrt{576}=24$

Hence,

$tanA+cotA=\frac{24}{7}+\frac{7}{24}$

$=\frac{576+49}{168}$

$=\frac{625}{168}$