Question

if the sine of angle A is 3/5 and the cosine of angle A is 4/5 explain how to find the tangent of angle A

Answer 1

$\bf tan(\theta)=\cfrac{sin(\theta )}{cos(\theta)}\\\\ -------------------------------\\\\ tan(A)=\cfrac{\stackrel{sin(A)}{\frac{3}{5}}}{\stackrel{cos(A)}{\frac{4}{5}}}\implies tan(A)=\cfrac{3}{\underline{5}}\cdot \cfrac{\underline{5}}{4}\implies tan(A)=\cfrac{3}{4}$