Question

If sinA = 3/5 find cosA and tanA​

Answer 1

Answer:

cosA = 4/5

tanA = 3/4

Explanation:

sinA = opposite / hypotenuse = 3/5

From here we can conclude that :-

opposite to A ( that is base of the triangle ) = 3x

hypotenuse of triangle = 5x

Using Pythagorean Theorem ,

Perpendicular ( which is adjacent to A ) =

$\sqrt{ {5x}^{2} - {3x}^{2} } = \sqrt{25 {x}^{2} - 9 {x}^{2} } = \sqrt{16 {x}^{2} } = 4x$

So perpendicular (or adjacent to A) = 4x

We know that cosA = adjacent / hypotenuse

= 4x / 5x

= 4/5

tanA = sinA / cosA = 3/4