Question

A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically. What is the sine value of this function?

5 times square root 61 over 61
negative 6 times square root 61 over 61
negative square root 61
square root 5

Answer 1

@Vocaloid no I mean on how to do it

Answer 2

first step would be to graph (-6,5) and draw the corresponding triangle

Answer 3

then calculate sin(theta) using our trig ratios

Answer 4

One second love

Answer 5

trig ratios? o.o

Answer 6

sin(theta) = opposite/hypotenuse = ?

Answer 7

OHHH wait...-6/5?

Answer 8

Is it this ?

Answer 9

yes

Answer 10

c is the hypotenuse in this case and a and b are 5 and -6

Answer 11

So I would do ?

Answer 12

yes just be careful with your parentheses

Answer 13

then find c

Answer 14

Quick question so do I do the exponents or? o.o

Answer 15

yes

Answer 16

5^2 + (-6)^2 = ?

Answer 17

5 x 5 = 25 -6 x -6 = 36?

Answer 18

(-6)^2 = (-6)(-6) = 36
5^2 = 25

36 + 25 = 61

Answer 19

therefore: hypotenuse = sqrt(61)

Answer 20

Oh okay, thank you so much! I'm gonna write down the steps so I will know in the future v.v

Answer 21

yeah no problem, but we still got some work to do ^_^

Answer 22

sin(theta) = opp/hypotenuse = 5/sqrt(61)

we have to rationalize the denominator by multiplying both the numerator and denominator by sqrt(61)

Answer 23

Oh boy XD, numerator is -6?

Answer 24

5sqrt(61)/61

Answer 25

sorry I'm starting to get really stressed out b/c people are deciding to break the rules and be edgy and contrarian for no reason -.-

Answer 26

anyway, it ends up being 5sqrt(61)/61 which is your first answer choice

Answer 27

Same haha XD but I understand love and thank you!

Answer 28

thank you for actually being mature about this

Answer 29

Im gonna write the steps down rn, and no problem :D!