Question

please help!!!
Given △BAC shown below, match the trigonometric term on the left with its corresponding ratio on the right.
terms: sine, cosine, tangent. definition: A 84/85 B 84/13 C 13/85. I will add picture.

Answer 1

Lets use angle B as an example. The sine of an angle is equal to the value of the opposite side, divided by the hypotenuse (the hypotenuse is the longest side). So the side opposite angle B is 84, and the hypotenuse is 85, so
\[\sin B = 84/85\] The cosine is the adjacent side (the one that isn't the hypotenuse) divided by the hypotenuse, so
\[\cos B = 13/85\] Finally, tangent is the opposite side divided by the adjacent side (it is also equal to the sine divided by cosine) so
\[\tan B = 84/13\]You can repeat this for the other angles.

Answer 2

oh that makes sooo much more sense now!!! thank you!

Answer 3

No problem, glad to help.