need some assistance sin(θ-8π)
sin(x) = sin(x+2pi*n)
where n is {...-3,-2,-1,0,1,2,3...}
so sin(x+8pi) = sin(x+6pi) = sin(x+4pi) = sin(x+2pi) = sin(x)
so sin(x-8pi) = sin(x-6pi) = sin(x-4pi) = sin(x-2pi) = sin(x)
ok but the answer for this question is -2 / square root of 13
did they give you a theta?
\[sin(\theta+8\pi)=sin(\theta)\]
plug in theta to get the answer
you with me @darkhound ?
sort of a strange answer if the question is sin(theta) = -2/sqrt(13) then theta is a very "strange" angle, of which most people would use a calculator instead of deriving it.
but the answer is sin(θ-8π)= -2/sqrt(13)
write the question exactly as its asked
you fall asleep typing?
given that tanθ=2/3 and θ is in the 3rd quadrant.without evaluating the angle θ,find the exact values of a)cos(-θ) b)sin(-θ) c)sin(θ-8π)
no
lol this is much different than just sin(x-8pi)
ok but u know how to solve it?
yes
ok thanks
soh cah toa says that tan(theta) = opposite over adjacent, and thus you have a triangle like this |dw:1372840613232:dw| so 2^2+3^2=c^2 so c= sqrt(13) so hypotenuse is sqrt(13) soh says sin = opposite of hypotenuse so sin(theta) = -2/sqrt(13) because theta is in quadrant 3
hope this helps, brb taco bell:)
so this is the answer for c right?
yes part c) because sin(theta-8pi) = sin(theta)
= sin(theta-(2345670*10^53)pi)
|dw:1372841188150:dw|
how come is -2?
are u still there zzr0ck3r
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