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Mathematics 14 Online
OpenStudy (anonymous):

trig help

OpenStudy (anonymous):

OpenStudy (alekos):

well this comes to cos(theta) = -2/3 so we need to find theta values in the range 0 to 2pi any ideas?

OpenStudy (anonymous):

no :( I don't get it

OpenStudy (anonymous):

do I use cos^-1 and pi

OpenStudy (alekos):

the only angles that provide a -ve cosine value will be in the 2nd and 3rd quadrants so we get theta = cos^-1(-2/3) try that

OpenStudy (anonymous):

131.81?

OpenStudy (alekos):

very good. that's one angle which is in the 2nd quadrant whats the other angle that will give you a cosine of -2/3?

OpenStudy (anonymous):

? I dont know

OpenStudy (anonymous):

is that the one when you use 1-pi ?

OpenStudy (alekos):

if you go cos(-131.8) what do you get?

OpenStudy (anonymous):

-0.67?

OpenStudy (alekos):

and -0.67 is 2/3! so the other angle is -131.8 have a look at the diagram i've attached

OpenStudy (anonymous):

oh !

OpenStudy (anonymous):

wow thank you!

OpenStudy (alekos):

as you can see, both angles have the same cosine. one in the 2nd quadrant and the other in the 3rd. this is where the cosine will always be -ve

OpenStudy (anonymous):

oh it says its wrong :(

OpenStudy (alekos):

what says its wrong?

OpenStudy (anonymous):

my math program

OpenStudy (wolf1728):

Try 228.2

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

its wrong aswell

OpenStudy (wolf1728):

okay

OpenStudy (alekos):

are you in radians or degrees

OpenStudy (anonymous):

derees

OpenStudy (anonymous):

degrees*

OpenStudy (alekos):

my calculator says its right so i'm not sure what you're doing cos131.8 = cos (-131.8) = cos 228.2

OpenStudy (alekos):

all equal to -0.6666 or -2/3

OpenStudy (anonymous):

oh round to the hundreths

OpenStudy (alekos):

if you dont round off 2/3 youll get 0.6666666666..... recurring

OpenStudy (anonymous):

it says the answers are 2.30 and 3.98

OpenStudy (wolf1728):

Actually 2.30 radians = 131.7802928801 degrees 3.98 radians = 228.0372024621 degrees

OpenStudy (anonymous):

so they want it in radians.. -_- sorry guys it didn't specify that..(

OpenStudy (anonymous):

thank you!

OpenStudy (alekos):

i asked you before if you were in radians or degrees? and you said degrees i'll let you off this time

OpenStudy (anonymous):

im sorry it didn't specify D:

OpenStudy (wolf1728):

Well as long as the answer is correct.

OpenStudy (alekos):

dont worry about it

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