SOLUTION: 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 positiv

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

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