Right triangle **ABC** has its right angle at **C**.

**AC**=5 and **BC**=12.

Which trigonometric ratios are correct?

Select **each** correct answer.

- sin A =5/13
- cos A =5/13
- sin B =5/13
- tan A =12/5
- tan B =12/5

adore.nuk Feb 28, 2018

#1**+3 **

First we need to find the hypotenuse using the Pythagorean theorem.

5^{2} + 12^{2} = hypotenuse^{2}

25 + 144 = hypotenuse^{2}

169 = hypotenuse^{2}

13 = hypotenuse

sin A = side opposite A / hypotenuse = 12 / 13

cos A = side adjacent to A / hypotenuse = 5 / 13

sin B = side opposite B / hypotenuse = 5 / 13

tan A = side opposite A / side adjacent to A = 12 / 5

tan B = side opposite B / side adjacent to B = 5 / 12

hectictar Feb 28, 2018

#4**+2 **

sin A = 12/13

cos A = 5 / 13

sin B = 5 / 13

tan A = 12 / 5

tan B = 5 / 12

All of these statements are correct.

Look at each correct statement and compare it to each option in the question.

sin A = 12 / 13 so is it true that sin A = 5 / 13 ? No

cos A = 5 / 13 so is it true that cos A = 5 / 13 ? Yes

Do you see what I'm doing? Can you figure out the rest?

hectictar Feb 28, 2018