Answer:
[tex] \tan(a) = \frac{ \sin(a) }{ \cos(a) } [/tex]
[tex] \tan(a) = \frac{ \frac{4}{7} }{ \frac{3}{7} } [/tex]
[tex] \tan(a) = \frac{4}{3} [/tex]
tanA = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Using the identity
tanA = [tex]\frac{sinA}{cosA}[/tex] = [tex]\frac{\frac{4}{7} }{\frac{3}{7} }[/tex] = [tex]\frac{4}{7}[/tex] × [tex]\frac{7}{3}[/tex] = [tex]\frac{4}{3}[/tex]
