Question

if 5 tan a= 3 find 5 tan a - 3 cos a/ 5 sin a + 3 cos a

Answer 1

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I am solving an Example for you ;-
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➡️5 tan theta=4. So tan theta=4/5 therefore, sin theta/cos theta = 4/5. Hence we can say that, sin theta= 4x , cos theta= 5x. So, (5 sin theta - 3 cos theta )/(5 sin theta + 2 cos theta )
= (20x-15x)/(20x+10x)
= 5x/30x = 1/6

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