SOLUTION: if cot(θ)=-(4/3) what does sin(θ)= and sec(θ)=

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Question 395042: if cot(θ)=-(4/3) what does sin(θ)= and sec(θ)=
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if cot(θ)=-(4/3) what does sin(θ)= and sec(θ)=
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Note: cot = x/y
So x = +/-4 and y = +/-3
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Since you have not said what quadrant theta is in
you only know that x and y have opposite signs.
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But, r = sqrt(x^2 + y^2) = sqrt(4^2+3^2) = 5
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If x is negative 4, sec(theta) = 5/-4
If x is positive 4, sec(theta) = 5/4
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If y is negative 3, sin(theta) = -3/5
If y is positive 3, sin(theta) = +3/5
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Cheers,
Stan H.
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