Question

If 7tantheta = 4 , then find (7sintheta - 3costheta) / (7sintheta + 3costheta)

Answer 1

$\mathfrak \blue{ \underline{ \underline{here \: is \: your \: answer : }}} \\ 7tan \theta = 4 \\ tan \theta = \frac{sin \theta}{cos \theta} = \frac{4}{7} \\ so... \\ \frac{7sin \theta - 3cos \theta}{7sin \theta + 3cos \theta} \\ \frac{7(4)- 3(7)}{7(4) + 3(7)} \\ \frac{28 - 21}{28 + 21} \\ \frac{7}{49} \\ \frac{1}{7}$

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