Question

if 5 tanx=4 then
then (5sinx- 3cosx)÷(5sinx+2cosx)= ?​

Answer 1

Answer:

Hi..mate

your question is,

if 5tanx =4then

$\frac{5 \sin(x) - 3 \cos(x) }{5 \sin(x) + 2 \cos(x) } \\ sollution \\ 5 \tan(x ) = 4 \\ \tan(x) = \frac{4}{5} = \frac{ \sin(x) }{ \cos(x) } \\ so.... \\ \sin(x) = 4 \: \: \: \: \: \: and \: \: \cos(x) = 5 \\ \frac{5 \times 4 - 3 \times 5}{5 \times 4 + 2 \times 5} \\ \frac{20 - 15}{20 + 10} \\ \frac{5}{30} \\ \frac{1}{6}$

Hope...my answer will help you...

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