cot(theta)= 3
pi < theta < 3pi/2
Find:
sin(theta)= -1 ?
cos(theta)= -3 ?
tan(theta)= 1/3 ?
sec(theta)= -1/3 ?
csc(theta)= -1 ?

That's what I came up with, but they are not correct, PLEASE help me where I went wrong!!

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1. tan theta= 1/3 which means sintheta 1/sqr10
draw the triangle Notice it is in the third quadrant, where cosine is negative.

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2. You do not seem to have calculated the hypotenuse which you need for sin and cos and sec and csc
sqrt (1^2+3^2) = sqrt 10

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3. So,
tan(theta)=sin(theta)/cos(theta)
cos(theta)=sin(theta)/tan(theta)
=(1/sqrt(10))/(1/3)
= 3/sqrt(10) ??
But its incorrect!! What am I doing wrong?

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4. If sin t=-1/4, find sin t + 6pi

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5. tan theta= 5 divided by 12 and theta is in quadrant 3 what does sin 2 theta equal

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