Math, asked by MadhavPuri, 9 months ago

if 4 cot theta equals 5 ,Show that 5sin theta + 3cos theta divided by 5sin theta - 2cos theta equals 7/2 ..

please answer!!
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Answers

Answered by arjunsara3436
2

Answer:

It came

Step-by-step explanation:

∅→theta

4 cot∅=5

→cot∅=5/4

→cos∅/sin∅=5/4

→cos∅=5/4sin∅ --- 1

SUBSITUTE:

\frac{5sin\theta+3cos\theta}{5sin\theta-cos\theta}=\frac{7}{2}\\\\ Take L.H.S\\\\\frac{5sin\theta+\frac{3*5}{4}sin\theta}{5sin\theta-\frac{2*5}{4}sin\theta}\\\\\frac{20sin\theta+15sin\theta}{20sin\theta-10sin\theta}\\\\\frac{35sin\theta}{10sin\theta}\\\\\frac{35}{10}\\\\\frac{7}{2} == R.H.S

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