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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]

Answer:

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]

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