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0, find the value of cos(0) when cot(0) = 4.If sin(0)(Givean exact answer. Use symbolic notation and fractions where needed.)cos(0)

Question
0, find the value of cos(0) when cot(0) = 4.
If sin(0)
(Give
an exact answer. Use symbolic notation and fractions where needed.)
cos(0)
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0, find the value of cos(0) when cot(0) = 4. If sin(0) (Give an exact answer. Use symbolic notation and fractions where needed.) cos(0)

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Step 1

sin theta<0 but cot theta>0 

So this must be 3rd quadrant.

There cos theta will be negative

Step 2

First we draw a right tirnagle in 3rd quadrant so that opposite = -5 and adjacent = -4

 

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Step 3

Then we find hypotenuse of it.

...

Hypotenuse
2
(-4)
=16+25
=V41
+(-5
II
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Hypotenuse 2 (-4) =16+25 =V41 +(-5 II

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