Question

if tan theta = -1/ root 5 and theta lies in 4th quadrant then value of cos theta is ??

Answer 1

Answer:csc = -5/4

sec = -5/3

ctn = 3/4

#bal

Step-by-step explanation:

If cos(theta)<0 theta is in the 2nd or 3rd quadrant.

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If sin(theta) = -4/5 then y = -4 and r = 5

So now you know that theta is in the 3rd quadrant.

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x = sqrt(r^2-y^2) = sqrt(25-16) = 3

But theta is in the 3rd quadrant so x = -3

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sin = -4/5

cos = -3/5

tan = 4/3

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csc = -5/4

sec = -5/3

ctn = 3/4

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Cheers,

Stan H.