Question

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share? PIC BELOW IN COMMENTS WILL GIVE MEDAL AND FAN

Answer 1

First use the Pythagorean Theorem to find the hypotenuse of that triangle.

Answer 2

How do I do that when I have no numbers to work with?

Answer 3

Do you see that little red thing on that triangle?

Answer 4

Oh my gosh I was looking at the wrong problem. Lol okay so we have 8^2+6^2=c^2 which is 64+36=c^2 which is 100=c^2 which would be 10, correct?

Answer 5

yes. What is the measure of the side that is opposite the angle whose measure is x degrees?

Answer 6

6.

Answer 7

@Mertsj

Answer 8

And what is the hypotenuse?

Answer 9

10. @Mertsj

Answer 10

The definition of sin x is side opposite angle x/hypotenuse

Answer 11

So what is the sin of x?

Answer 12

Uhhhh.......

Answer 13

6/10? @Mertsj

Answer 14

Reduce it

Answer 15

3/5. @Mertsj

Answer 16

so sin x = 3/5
Now do the same thing for cos y except the definition of cosy is side adjacent angle y/hypotenuse.

Answer 17

Okay so wait. Would opposite over hypotenuse be 8/10 which is 4/5? I think I got my numbers mixed up and cos is supposed to be 3/5. Double check me? @Mertsj

Answer 18

So the sin would be 4/5 and the cos would be 3/5. The last part of the question is what relationship do they have?

Answer 19

@Mertsj

Answer 20

sin x = 3/5
cos y = 3/5
The relationship between sin x and cos y is that they are equal.

Answer 21

Ohhhh....I understand now.