Question

Look at the figure below:

An image of a right triangle is shown with an angle labeled y degrees.

If sin y° = 9 divided by c. and tan y° = 9 divided by d. ,what is the value of cos y°?

cos y° = 9c
cos y°=c divided by d.
cos y°=d divided by c.
cos y° = 9d

Answer 1

where is the figure?

Answer 2

here let me draw it out better for you.

so you know that sin is opposite over hypotenuse. So by saying that sin(y)= 9/c. You know that the opposite side of y is 9 and the hypotenuse is c.
You know that tan is opposite over adjacent: The statement tan(y) = 9/d supports the fact that the opposite side is 9 and the adjacent side is d. Let me draw this out
can you figure out cos y now?

Answer 3

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Answer 4

I am the darkknight

Answer 5

not gonna lie that confused me even more...

Answer 6

oh ok ill walk you through. Where are you at

Answer 7

like where are you stuck

Answer 8

i guess i just don't understand how to find cos y

Answer 9

like I understand the rest but my brain isn't comprehending how to find cos y

Answer 10

oh ok, do you know what cos means?

Answer 11

yes

Answer 12

so you know that cos is adjacent/hypo. Using this trig function we can compute cos y. Find the adjacent and hypotenuse sides and then plug it intoo cos(y) = adjacent/hypo. to get ur answer

Answer 13

Another way to solve it is to remember that
tan(x) = sin(x) / cos(x)

So you can plug in the values they gave you for tan(x) and sin(x) and simply solve for cos(x)

Answer 14

Er you can just replace x with y for this question, but you get the point/concept I'm sure

Answer 15

would x be 9?

Answer 16

x is just a variable like y
And in our example it's the variable we are using for the angle

Answer 17

tan (y) = sin(y) / cos(y)

You're given
tan(y) = 9/d
sin(y) = 9/c

Plug that in and solve for cos(y)

Answer 18

yes what I was mentioning. You now know that the side adjacent to y is d and the hypo is c. How can we write the cos funciton now?

Answer 19

I got the third answer choice but I think it's wrong.

Answer 20

And why do you think it's wrong?

Answer 21

i just have a feeling that it is

Answer 22

it is a very simple concept.
you have the picture up there. You know that cos is adjacent/hypo. So the adjacent side is d and the hypo is c. so when you set up the eqn you have cos(y) = d/c. Which one does it match

Answer 23

the third option?

Answer 24

yes, you are correct.
If this helped you please leave a like (by clicking best response) and fan me to support my campaign thank you

Answer 25

thank you, guys!!

Answer 26

No problem mate, just don't second guess yourself!