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hannahhaack
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Find the values of the six trigonometric functions of theta: cos θ = 35/37 constraint: tan θ < 0
 5 months ago
 5 months ago
hannahhaack Group Title
Find the values of the six trigonometric functions of theta: cos θ = 35/37 constraint: tan θ < 0
 5 months ago
 5 months ago

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hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
dw:1401422933563:dw
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
six trignometric functions?
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
yes. sin, tan, sec, cos, cot, csc
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
ok plug into calculator using the inverse buton
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
to find all six? Can you baby it down for me haha
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
so first look at your triangle its 35 in x and 37 in y
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
so enter 35/37 in your calculator, and then do cos1 (35/37)
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
thats a button on your calculator cos inverse
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
do the same for sin and tan
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
cos=2.811295299?
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
make sure you are using degree mode
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
ok it is now cos=161.0753556
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
that answer is in radians which is fine too if your teacher wants that
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
alright thats one, now do the rest
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
remember that 1/sin= csc 1/cos=sec 1/tan=cot
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
by the way that is not the only solution,
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
ya it usually accepts fractions.
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
dw:1401423483117:dw
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
it found that angle, but if your teacher is particular on you to only find tht last angle on the bottom
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
So i just plugged in 37/\[\sqrt{2594}\]
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
is it in quadrant 2 not 4?
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
i dont know its your choice what do you want??
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
well the cos is positive and the tan is negative. so wont that be quad 4?
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
ok now what would the hypotenus equal?
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
do Pythagorean thm
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
dw:1401423730828:dw
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
i get square root of 2594
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
is that right? I might be doing my calcs wrong
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
looks about right
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
dw:1401423880441:dw
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
so would sin of theta=37/square root of 2594
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
the hypotenuse should be roughly sqrt2*36
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
it says it is wrong
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
square root of 36?
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
no nvm that, its just an approximation i dont have calc
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
cos is adj/hyp you labeled the initial triangle a bit wrong
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
okay do it over
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
can you show me the right triangle?
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
dw:1401424044893:dw
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
now find the opp measurement of the angle theta dw:1401424168943:dw
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
and how did you get that?
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
use the theorem we talked about last question
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
you are given cos is 35/37
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
right right right. got it
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
none of those are negative?
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
right cos is positive not negative
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
sin is negative
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
so you will definitely get a negative number for that opp measurement to theta
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
i got 12
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
and it should really be 12
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
35^2+b^2=37^2
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
b^2=144 b=12?
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
or b=12 we will go with b=12 because we were given cos is + tan is  which makes sin 
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
ok. so sin =12/37
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
dw:1401424409906:dw that symbolizes the triangle is to the right of zero but below 0 (that is talking about the signs)
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
that clarifies completely. what about this one? tan θ is undefined. constraint: π ≤ θ ≤ 2π
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
find the six.
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
remember tan theta = sin theta/costheta so its undefin when cos theta= 0 which is at?
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
so each one would be undefined?
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
no just the tan and the cot
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
well atually no cot is fine
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
how do i find the rest?
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
have to first find this
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
tan theta= sin theta/cos theta => undefined when denominator =0 where cos theta =0
 5 months ago

dan815 Group TitleBest ResponseYou've already chosen the best response.0
solve for cos theta = 0 , when theta is in that given interval pi to 2pi
 5 months ago

hannahhaack Group TitleBest ResponseYou've already chosen the best response.0
would it be 2pi/pi?
 5 months ago
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