Question 1186262: Answer the following questions:
If sin θ is positive, and tan θ is negative, then what quadrant will you find the terminal arm?
If cos β is positive, and sin β is positive, then what quadrant will you find the terminal arm?
If cot α is positive, and csc α is negative, then what quadrant will you find the terminal arm?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! answers to your questions:
If sin θ is positive, and tan θ is negative, then what quadrant will you find the terminal arm?
sine is positive in quadrants 1 and 2.
tangent is negative in quadrants 2 and 4.
the common quadrant is quadrant 2.
that's your answer.
If cos β is positive, and sin β is positive, then what quadrant will you find the terminal arm?
cosine is positive in quadrant 1 and 4.
sine is positive in quadrant 1 and 2.
the common quadrant is quadrant 1.
that's your answer.
If cot α is positive, and csc α is negative, then what quadrant will you find the terminal arm?
cotangent, being the reciprocal of tangent, is positive in quadrant 1 and 3.
cosecant , being the reciprocal of sine, is negative in quadrant 3 and 4.
the common quadrant is quadrant 3.
that's your answer.
here's a reference.
https://www.onemathematicalcat.org/Math/Precalculus_obj/trigSigns.htm
|
|
|
