Question

Trig Help 2

Answer 1

Csc(2pi/3)

Answer 2

For a 30 60 90 triangle the hyp is 2, opp is 1, and adj is sqrt3

Answer 3

I know the eqaution for csc is hyp/opp, but im getting 1

Answer 4

It might be because 2pi/3 is not in that triangle

Answer 5

2pi/3 in degrees, is a 120 angle. making it a 60 degree reference angle. that is what he is referring to.

Answer 6

I am not a clever man

Answer 7

?huh?

Answer 8

Wouldn't 2/1=2? but the answer other people are getting is 2/sqrt3. Im having a mind block right now

Answer 9

I dont see what im doing wrong

Answer 10

that is because the y value for 2pi/3 would be sqrt3/2 so it would be the reciprocal of that.

Answer 11

your thinking of it wrong on the triangle. the side opposite the 60 is sqrt3 the side opposit the 30 is 1 and the side opposite the 90 is 2

Answer 12

Hyp is the diagonal line. Adj the bottom one, and opp is to the left or right of the hypp, right?

Answer 13

hmm.

Answer 14

can you see that. or is it still messed up?

Answer 15

Cant see it

Answer 16

If it was 2/sqrt3, it would be hyp/adj

Answer 17

Argh

Answer 18

no the adjacent to the 60 degree angle is 1 the opposite is 2

Answer 19

you are making a 60 degree angle with the x axis

Answer 20

i mean opposite of the 60 is sqrt3

Answer 21

2pi/3 = 120 degrees, which is the ref. angle of 60 degrees.

csc(120 degrees) = csc(60 degrees) = 2/sqrt(3)

You are looking at it through 30 degrees, instead of the other angle (?)

Answer 22

My head hurts.... I tried this logic with pi/6 and I get 1/2, but reaplying it with the same triangle I get it wrong

Answer 23

your thinkgin. that opp and adj are in the same place every time. but its relative to the angle your checking from.

Answer 24

^yes

Answer 25

sin30 is not sin60 if you look at the same triangle

Answer 26

*same angle in the triangle

Answer 27

yep, that is where some people get confused in trig.

Answer 28

Oh, I think I see now

Answer 29

alright then. what is sin of 5pi/6

Answer 30

Since its placed differently on the circle graph, the hyp and adj change?

Answer 31

yes. depending on what angle your looking from.

Answer 32

so you always fill the sides out. by the shortest from the smallest angle then the middle to the middle. biggest to the biggest

Answer 33

i thought my paint drawings were bad lol.

Answer 34

lol....

Answer 35

Im lost.

Answer 36

I dont understand how these things switch

Answer 37

Its overwelming with each problem I do :c

Answer 38

how so? if your lookign at it from 30 degree angle your opposite is 1 and hyp is 2
if your looking at it from the 60 degree angle then the opposite is sqrt3 and the hyp is 2

Answer 39

Can you graph the both of them on the unit circle?

Answer 40

So I can see the diff?

Answer 41

With sin(30), the opposite is 1, but in sin(60), the opposite side is sqrt(3)

Answer 42

they are in the same triangle. and sure i can do it

Answer 43

What if it was sin(90) or sin(320)? Would they always change to some diff combination whenever I encounter one with a diff degree?

Answer 44

*sin(90) = 1

**I was thinking of tan(90)

Answer 45

Are there any others, were the sides would change?

Answer 46

Or is it just 30 and 60?