Question

If sin A =5/13 , find tan A​

Answer 1

Answer:

tanA=5/13.

Step-by-step explanation:

sinA=5/13,sinA=opposite/hypotenuse,

tanA=opposite /adjacent,

to get adjacent we must subtract hypotenuse and opposite as follows,

(13)^2-(5)^2=(adjacent)^2;

✓169-25=adjacent,

✓144=12;

so we got adjacent we get it as

tanA=sinA/cos A,

tanA=5/13.

hope that it is useful.

Answer 2

Answer:

tan θ =  $\frac{5}{-12}$

Step-by-step explanation:

sin θ  is defined as  $\frac{opposite}{hypotenuse}$  or on a Cartesian grid,   sin  θ =  $\frac{y}{r}$

The sides of the right-angled triangle in this case are  5 , 12 , 13 ((he gave you two and you will get the third ))

However, in Quadrant ll, the x-values are negative, (-12)

The values of the 6 trig ratios in the second quadrant will be:

sin θ = $\frac{5}{13}$                       cos θ = -$\frac{12}{13}$                             tan θ =  $\frac{5}{-12}$