Right triangle ABC has its right angle at C.
AC=5 and BC=12.
Which trigonometric ratios are correct?
Select each correct answer.
First we need to find the hypotenuse using the Pythagorean theorem.
52 + 122 = hypotenuse2
25 + 144 = hypotenuse2
169 = hypotenuse2
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
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?