Question

03. if sin A =3/5, find cos A and tan A.
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Answer 1

cos a=4/5
tan a=3/4
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Answer 2

let the common value be x.

Since, sin=Perpendicular/height

therefore, sin=3x/5x where 3x=Perpendicular and 5x=height.

we already have perpendicular and height, we now need the base.

By Pythagoras theorem,

$a = {5x }^{2} - {3x}^{2}$

$a = 4x$

therefore, P=3x,H=5x and B=4x.

1. cos A= base/height

cos A= 4x/5x or 4/5.

2. tan A= P/B

tan A= 3x/4x or 3/4.

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