Question

find all the trigonometric ratio if sinA =1/3

Answer 1

sin A =

$\frac{opp}{hyp} = \frac{1}{3}$

opp = 1 , hyp = 3

cosA =

$\frac{adj}{hyp}$

$adj = {hyp}^{2} - {adj}^{2}$

$adj = {3}^{2} - {1}^{2}$

$adj = 9 - 1 = 8$

cosA =

$\frac{8}{3}$

tanA =

$\frac{opp}{adj} = \frac{1}{8}$

cosecA =

$\frac{hyp}{opp} = \frac{3}{1} = 3$

secA =

$\frac{hyp}{adj} = \frac{8}{3}$

cotA =

$\frac{adj}{opp} = \frac{8}{1} = 8$