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?
PLEASE HELP!!!

Answer 1

well first find what x and y are

Answer 2

how would you find y?

Answer 3

you would find y by finding side x. 12^2+5^2

Answer 4

it's easier to use tangent

Answer 5

so \[\tan \theta=opp/adj\]

Answer 6

well i found the hypotenuse by pythag

Answer 7

opposite is 12, adjacent is 5

Answer 8

ok, what angle did you get?

Answer 9

would i put the leg measures over the hypotenuse

Answer 10

?

Answer 11

leg measures? I don't understand

Answer 12

12, 5 are the legs....

Answer 13

13 is hypotenuse

Answer 14

ok, so now lets find angle y

Answer 15

ok..

Answer 16

sin x and cos y

Answer 17

ok, so lets use cos to find y

Answer 18

idk what to put in im confused..

Answer 19

\[\cos \theta=adj/hyp\]

Answer 20

adj is 5 and hyp is 13

Answer 21

it would approx .38 degrees ?

Answer 22

remember, we are trying to find theta, so \[\theta=\cos ^{-1}(5/13)\]

Answer 23

https://www.wolframalpha.com/input/?i=cos^-1%285%2F13%29

Answer 24

so it would be 67.38 degrees

Answer 25

that's right

Answer 26

so cos(y) would be?

Answer 27

was that for sin x?

Answer 28

no we just found angle y. now take the cos of the angle to find the value of cos(y)

Answer 29

cos(67.38)

Answer 30

.384

Answer 31

@10115658 can u lease help...

Answer 32

yep, so that's the value for cosy

Answer 33

now let's find angle x

Answer 34

im confused ... sin x = 5/13 and cos y = 12/13

Answer 35

no we just found cos y which was .384, now we have to find sin x.

Answer 36

ok so would i do the inverse of sin x?

Answer 37

first lets find the angle x

Answer 38

ok how ?

Answer 39

lets use cos again

Answer 40

22.6

Answer 41

so it's \[\cos \theta=adj/hyp\]

Answer 42

that's right, good job

Answer 43

so now find sin(22.62)

Answer 44

so whats the relationship?

Answer 45

.38

Answer 46

yep, and what did we get for cos y?

Answer 47

67.38

Answer 48

no i mean...

Answer 49

.38

Answer 50

that's right, so the relationship is that they are the same value

Answer 51

thank u sooo much i am giving u a medal !

Answer 52

the ratio would be .38/.38=1