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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
avatar+7339 
+3

 

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

hectictar  Feb 28, 2018
 #2
avatar+588 
0

So, which options are the correct ratios?

adore.nuk  Feb 28, 2018
 #3
avatar+588 
0

Is it the last two options?

adore.nuk  Feb 28, 2018
 #4
avatar+7339 
+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
 #5
avatar+588 
+1

yes, i see now!! thank you so much!!

adore.nuk  Feb 28, 2018

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