SOLUTION: Use the given information to determine the exact trigonometric value. Find csc(theta) if cot(theta) =-8 and 3pi/2 < theta

SOLUTION: Use the given information to determine the exact trigonometric value. Find csc(theta) if cot(theta) =-8 and 3pi/2 < theta < 2pi

Question 1031102: Use the given information to determine the exact trigonometric value.
Find csc(theta) if cot(theta) =-8 and 3pi/2 < theta < 2pi
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

means

In QIV,

, so

and

are negative as well.

So if

then

Square both sides:

Substitute from the Pythagorean Identity:

in general, but recall the restriction to QIV, hence

Then, since cosecant is the reciprocal of sine:

John

My calculator said it, I believe it, that settles it

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