Verified Answer :

meerkat18

Base on the problem which ask to choose among the following values that could support or be the value if cot theta = 3/4 and the terminal point determined by theta is in quadrant 3, base on that, I would say that the answers would be (a) tan theta= 4/3 and (d) cos theta = -3/5

ajeigbeibraheem

The correct terminal point of the trigonometry function in quadrant 3 is tan theta = 4/3.

What are the trigonometric functions in the third quadrant?

The values of trigonometric functions on the third quadrant vary from one function to another.

In the third quadrant, we have the following pattern.

  • Tan theta  = +ve
  • Sin theta = -ve
  • Cos theta = -ve
  • Csc theta = -ve

So, If cot theta = 3/4

i.e cot theta = adjacent/opposite = 3/4

Then:

tan theta = opposite/adjacent

tan theta = 4/3

The hypotenuse side is 5 by using the Pythagoras theorem.

csc theta = 1/sin theta = hypotenuse/opposite

csc theta = -5/4

Sin theta = opposite/hypotenuse

Sin theta = 4/5

Cos theta = adjacent/hypotenuse

Cos theta = 3/5

Therefore, we can conclude that the correct terminal point of the trigonometry function in quadrant 3 is tan theta = 4/3.

Learn more about trigonometry functions here:

https://brainly.com/question/24349828

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