Math, asked by subhram976, 9 months ago

if 4 tan theta =3 ,evaluate (4sin theta - cos theta +1/4sin theta + cos theta -1)​

Answers

Answered by amansharma264
3

Answer:

4 \tan( o) = 3 \\  \tan(o) =  \frac{3}{4} \\ {h}^{2} =  {p}^{2} +  {b}^{2} \\  {h}^{2} =  {3}^{2} +  {4}^{2} \\  {h}^{2} = 9 + 16 \\  {h}^{2} = 25 \\ h =  \sqrt{25} \\ h = 5 \\find =  \\ 4 \sin(o) -  \cos(o) +  \frac{1}{4 \sin(o) +  \cos(o) - 1  } \\ 4 \times  \frac{3}{5} -  \frac{4}{5} +  \frac{1}{4 \times  \frac{3}{5} +  \frac{4}{5} - 1  } \\  \frac{12}{5} -  \frac{4}{5} +  \frac{1}{ \frac{12}{5} +  \frac{4}{5} - 1  } \\  \frac{8}{5} +  \frac{1}{ \frac{12 + 4 - 5}{5} } \\  \frac{8}{5} +  \frac{5}{11} \\  \frac{88 + 25}{55} \\ \frac{113}{55}

I hope this is your answer

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