Question

What is the relationship between sin(90°) and sin(−90°)

Answer 1

hint:
sin(-x)=-sin(x)
since sin(x) is an odd function

Answer 2

Are you there?

Answer 3

yeah im looking at the question sorry

Answer 4

Here is an example:
Take f(x)=x^3
f is an odd function
since (-x)^3=-x^3
Consider f(2) and f(-2).
What is f(2) and f(-2) equal to?

Answer 5

so you would plug in the -2 and 2 for x?

Answer 6

yep and what would you get for both

Answer 7

f(2)=2^3=?
f(-2)=(-2)^3=?

Answer 8

\[(2)=2^{3}\] would equal 9?

Answer 9

2*2*2=4*2=8
f(2)=2^3=8

Answer 10

oohhhh i see lol

Answer 11

f(2)=(2)^3=(2)(2)(2)=(4)(2)=8
f(-2)=(-2)^3=(-2)(-2)(-2)=(4)(-2)=-8

what do you notice about the values 8 and -8?

Answer 12

what do we call that relationship

Answer 13

they are ____ of one another

Answer 14

similar?

Answer 15

what is the opposite of 8?

Answer 16

-8

Answer 17

yes they are opposites of one another

Answer 18

since sin(-x)=-sin(x)
sin(-x) is the opposite of sin(x) when x doesn't equal n*pi
where n is an integer

Answer 19

so there equal to each other?

Answer 20

sin(-x)=-sin(x)
but I didn't say sin(-x) equals sin(x)

Answer 21

so its greater than?

Answer 22

is that the relationship you want is greater than or less than?
because the first thing I thought of is sin(x) is odd
so sin(90 deg) and sin(-90 deg) are opposites

Answer 23

you can use your unit circle to determine which outputs 1 and which outputs -1

Answer 24

sin(90°) < sin(−90°)
sin(90°) > sin(−90°)
sin(90°) = sin(−90°)
cannot be determined

Answer 25

do you know how to use the unit circle?

Answer 26

kinda

Answer 27

can you find 90 deg on there?

Answer 28

what is the y value coordinate at 90 deg?

Answer 29

1

Answer 30

right and I already gave you that sin(90) and sin(-90) are opposite values since sin(x) is an odd function

Answer 31

so sin(-90)=?

Answer 32

1?

Answer 33

the opposite doesn't mean the same as

Answer 34

-1

Answer 35

yes

Answer 36

sin(-90)=-1
sin(90)=1

Answer 37

can you tell which is greater now?

Answer 38

would it be the positive?

Answer 39

1 is definitely greater than -1

Answer 40

sin(90°) < sin(−90°)
sin(90°) > sin(−90°)
sin(90°) = sin(−90°)
cannot be determined

Answer 41

i guess you posted that because you still don't see which is greater
sin(90)=1 ___________ -1=sin(-90)
I'm trying to get you to see 1>-1
like having 1 dollar is more than having a debt of 1 dollar

Answer 42

so it would be b

Answer 43

yes because 1>-1

Answer 44

ok thanks

Answer 45

the first choice says 1<-1
the second choice says 1>-1
the third choice says 1=-1

Answer 46

right

Answer 47

ok thank you