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Mathematics 23 Online
OpenStudy (anonymous):

Using the following triangle, what is the cosecant of angle B?

jimthompson5910 (jim_thompson5910):

If we have this basic right triangle |dw:1365373152818:dw|

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

then cosecant of angle B is csc(B) = hypotenuse/opposite

OpenStudy (anonymous):

c/a , c/b, b/a ,a/b ?

jimthompson5910 (jim_thompson5910):

what's the side opposite of angle B?

jimthompson5910 (jim_thompson5910):

a? b? c?

OpenStudy (anonymous):

c?

jimthompson5910 (jim_thompson5910):

no, side b is opposite angle B

OpenStudy (anonymous):

so b/a

jimthompson5910 (jim_thompson5910):

c is touching angle B and is part of angle B, so c is out c is actually the hypotenuse

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

csc(B) = hypotenuse/opposite csc(B) = c/b

jimthompson5910 (jim_thompson5910):

that's all you're doing really

OpenStudy (anonymous):

so for cotangent of angle A? would it be b/a ?

jimthompson5910 (jim_thompson5910):

very good

OpenStudy (anonymous):

Using the following triangle, what is the cotangent of angle A? ?

jimthompson5910 (jim_thompson5910):

you just asked that?

OpenStudy (anonymous):

cotangent < a little bit diffrent

jimthompson5910 (jim_thompson5910):

oh this is for a different triangle?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

it would be b/a like you got last time

OpenStudy (anonymous):

oh ok it confused me a little

jimthompson5910 (jim_thompson5910):

ah i see

OpenStudy (anonymous):

Find the sine of angle A.

jimthompson5910 (jim_thompson5910):

sin(A) = opposite/hypotenuse

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

sin(A) = opposite/hypotenuse sin(A) = 12/13

OpenStudy (anonymous):

12/13 ?

OpenStudy (anonymous):

ok got it

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

Find the tangent of angle Y

jimthompson5910 (jim_thompson5910):

you got what?

OpenStudy (anonymous):

c/b ?

jimthompson5910 (jim_thompson5910):

use the triangle you just posted

OpenStudy (anonymous):

i mrean 6/10

OpenStudy (anonymous):

mean*

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

that's not correct

OpenStudy (anonymous):

6/8

OpenStudy (anonymous):

simplified = 3/4

jimthompson5910 (jim_thompson5910):

perfect

jimthompson5910 (jim_thompson5910):

tan(Y) = 3/4

OpenStudy (anonymous):

Find the cosine of angle Z.?

jimthompson5910 (jim_thompson5910):

what did you get

OpenStudy (anonymous):

3/5 ?

jimthompson5910 (jim_thompson5910):

nailed it

OpenStudy (anonymous):

cFind the secant of angle Z. 4/5 ?

jimthompson5910 (jim_thompson5910):

to find the secant of Z, you just flip the fraction you got for the cosine of Z

jimthompson5910 (jim_thompson5910):

this is because if cos(Z) = a/b then sec(Z) = b/a

OpenStudy (anonymous):

5/3 ?

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

Find the cosine of angle A

OpenStudy (anonymous):

OpenStudy (anonymous):

12/13?

jimthompson5910 (jim_thompson5910):

that would be cos(B) since the 12 is adjacent to angle B

jimthompson5910 (jim_thompson5910):

but you want cos(A)

OpenStudy (anonymous):

5/12 ?

jimthompson5910 (jim_thompson5910):

better

jimthompson5910 (jim_thompson5910):

oh wait, mixed up the terms it should be 5/13

jimthompson5910 (jim_thompson5910):

cosine is adjacent over hypotenuse

OpenStudy (anonymous):

Find the cotangent of angle Z.

OpenStudy (anonymous):

fpr the previous one would be 4/3 ?

OpenStudy (anonymous):

for *

jimthompson5910 (jim_thompson5910):

post the pic again

jimthompson5910 (jim_thompson5910):

there's too many of them lol

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

and you got what?

OpenStudy (anonymous):

4/3

jimthompson5910 (jim_thompson5910):

you got it flipped somehow

jimthompson5910 (jim_thompson5910):

cot(Z) = 3/4

jimthompson5910 (jim_thompson5910):

remember that cot(Z) = adj/opp adj = 3 opp = 4

OpenStudy (anonymous):

ohh okay got it

jimthompson5910 (jim_thompson5910):

and it's all in reference to whatever angle you're working with so if you go from Z to Y, then the adj and opp will switch

OpenStudy (anonymous):

ok got it thanks

jimthompson5910 (jim_thompson5910):

np

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