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# help?

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Right triangle ABC has its right angle at C.

AC=5 and BC=12.

Which trigonometric ratios are correct?

• sin A =5/13
• cos A =5/13
• sin B =5/13
• tan A =12/5
• tan B =12/5
Feb 28, 2018

#1
+8579
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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

Feb 28, 2018
#2
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So, which options are the correct ratios?

#3
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Is it the last two options?

#4
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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?

Feb 28, 2018
#5
+594
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yes, i see now!! thank you so much!!