Question

In rt triangle abc right angled at B TanA =4/3 find all trignometric ratios

Answer 1

let the perpendicular and base be of 4k and 3k units.
see the triangle in picture
by Pythagoras theorem we have
$(4k) {}^{2} + (3k) {}^{2} = {h}^{2} \\ 25 {k}^{2} = {h}^{2} \\ h = 5k \: and \: - 5k$
but length can't be negative
so triangle becomes
of side 3k 4k 5k
now
$\sin(a) = \frac{4k}{5k} = \frac{4}{5} \\ \cos(a) = \frac{3k}{5k} = \frac{3}{5}$
mark as brainliest if helped

Answer 2

Sin A = 4/5

Cos A = 3/5

Cosec A = 5/4

Sec A = 5/3

Cot A = 3/4