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?

A right triangle is shown with one leg measuring 4 and another leg measuring 3. The angle across from the leg measuring 3 is marked x degrees, and the angle across from the leg measuring 4 is marked y degrees.

Answer 1

please post this image

Answer 2

can you calcule the length of hypotenuse ?

Answer 3

do you know the law of sin and the law of cos ?

Answer 4

I do know the laws, I do not know how to calculate the length of hypotenuse

Answer 5

so this is a right triangle and you know the length of legs

Answer 6

yes the base is 3 and the height is 4

Answer 7

and how you calcule the length of hypotenuse ?

Answer 8

have you heard about pythagorian numbers ?

Answer 9

sin ∠ =
opposite
hypotenuse
???

Answer 10

opposite/hypotenuse

Answer 11

or multiply the shortest leg by 2?

Answer 12

you have learn about pitagora theorem ?

Answer 13

i have not

Answer 14

the law of sin and the law of cos ?

Answer 15

i know about that

Answer 16

ok

sin x and cos y you need get

sin x = ?

cos y = ?

Answer 17

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

Answer 18

or do you learn about tg and ctg ?

Answer 19

don't i need the hypotenuse to find sin?

Answer 20

no we learn sin, tan, and cos

Answer 21

why not

above you ve wrote thet sin = op/hyp

Answer 22

ok but tan = ?

Answer 23

im reall confused

Answer 24

we don't need tan

Answer 25

yes but how can you writing tan in function of sin and cos ?

Answer 26

tan ∠ =
opposite/adjacent

Answer 27

yes this is true but you dont learned about how can you writing the tan using sin and cos ?

Answer 28

i dont believe so

Answer 29

i need help with the whole question

Answer 30

ok but for you can calcule the length of hypothenuse you need to know the pythagora theorem

and sin x with cos y you can calcule just then you know the length of hypothenuse

or there is again way but you ve said that you dont learned again about tan and cot

Answer 31

Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share?

This is all I need. I know that the relationship between sin and cos is always equal but I don't know the value of sin x or cos y

Answer 32

ok not the hypotenuse with and h
so using this how you get the value of sin x and the value of cos y ?

Answer 33

with an h

Answer 34

i dont know

Answer 35

above you ve wrote there

sin x = ?

Answer 36

cos y

Answer 37

no

you ve wrote above that sin x = op / hyp

Answer 38

oh yes

Answer 39

and than you not the hyp by an h and you know that the op equal 3 so how will get the sin x ?

Answer 40

3/4?

Answer 41

why 4 ? the hyp not equal 4

Answer 42

the hyp you dont know

just note it by an h

Answer 43

3/h

Answer 44

so sin x = 3/h

in this way how you write the cos y = ?

Answer 45

4/h

Answer 46

cos y = 4/h

and what relation you need getting ?

Answer 47

that they are equal

Answer 48

no

what is the question ?

Answer 49

What relationship do the ratios of sin x° and cos y° share?

Answer 50

so what mean this ?

Answer 51

how you write the ratios of sin and cos

Answer 52

im not sure

Answer 53

try it

Answer 54

3:4

Answer 55

and how you ve got it ?

Answer 56

cuz sin is 3 and cos is 4

Answer 57

no

sin is 3/h and cos is 4/h

Answer 58

and in this way

(sin x )/cos y) = (3/h)/(4/h) = ?

Answer 59

do you multiply it?

Answer 60

(3/h) divide sign of / (4/h)

Answer 61

so divide 3/h over 4/h?

Answer 62

yes

Answer 63

how you divide two fractions ?

Answer 64

The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Answer 65

3/h divided by h/4 ??

Answer 66

yes multiplie the first by reciprocal of second so in our case how will be ?

Answer 67

not divided by reciprocal

Answer 68

3/h multiplied by h/4

Answer 69

exactly and now then you see what can you make with h from numerator and with h from denominator ?

Answer 70

what is it?

Answer 71

0.75

Answer 72

have you heard about simplification ?

Answer 73

is it 0.75

Answer 74

no bc. you need getting the relation value of sin and cos

Answer 75

how you ve got this value ?

Answer 76

you need getting the ratios what is a fraction

Answer 77

3h/h4

Answer 78

i ve said above that there is multiplication not divide

Answer 79

but that is simplified

Answer 80

and not 3h or 4h

Answer 81

there is 3/h and 4/h

Answer 82

what can you simplifie from there ? - look on this image what i ve posted above

Answer 83

can we cross simplify to cancel out the h's?

Answer 84

or 20h

Answer 85

exactly and so what will get for ratios ?

Answer 86

20:h

Answer 87

h's are canceled

Answer 88

20:0

Answer 89

how get this 20 ?

Answer 90

I meant 12

Answer 91

no

(3/h) * (h/4) = ?

Answer 92

if we cross simplify 3 multiplied by 4 is 12

Answer 93

no

you cross just simplifie the h's

Answer 94

well then im not sure

Answer 95

ok how you think it

canceled h's what remain there ?

Answer 96

3/4

Answer 97

perfectly so the ratios of sin x and cos y how much will be ?

Answer 98

3:4

Answer 99

yes but correct wrote is 3/4

and write it in tis way

(sin x)/(cos y) = 3/4

Answer 100

thank you so much :)))

Answer 101

np was my pleasure and hope so much that you understand it now sure

Answer 102

i do!

Answer 103

ok bye bye