Mathematics
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OpenStudy (anonymous):
Can anybody help me with basic trigonometric identities and how to solve problems, I Have to be done by tonight so I can graduate on Saturday.
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ganeshie8 (ganeshie8):
do u have a specific question ?
OpenStudy (anonymous):
yes i do hold on one sec
OpenStudy (anonymous):
Problem 3: Given tan x=13 and cos x<0, find the value of sin x.
OpenStudy (anonymous):
well the tan x = 1/3
ganeshie8 (ganeshie8):
okay :)
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ganeshie8 (ganeshie8):
cosx < 0
that means `cos` is negative, right ?
OpenStudy (anonymous):
yes
ganeshie8 (ganeshie8):
in which quadrants is the `cos` negative ?
OpenStudy (anonymous):
i honestly dont know
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OpenStudy (anonymous):
oh thanks i see
ganeshie8 (ganeshie8):
good, so which quadrants is the `cos` negative ?
OpenStudy (anonymous):
seems to be 2 and 3 where the cos is -
ganeshie8 (ganeshie8):
You got it !
OpenStudy (anonymous):
thanks
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ganeshie8 (ganeshie8):
and since the tan = 1/3 is positive, the ray must lie in 3rd quadrant.
OpenStudy (anonymous):
alright i see
ganeshie8 (ganeshie8):
|dw:1401239819391:dw|
ganeshie8 (ganeshie8):
So thats the reference triangle in IIIrd quadrant,
can u find the missing hypotenuse side ?
OpenStudy (anonymous):
the hyp would be 10?
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ganeshie8 (ganeshie8):
dont forget the sqrt
ganeshie8 (ganeshie8):
hypotenuse = \(\large \sqrt{10}\)
OpenStudy (anonymous):
oh yea
ganeshie8 (ganeshie8):
|dw:1401240066009:dw|