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In what quadrants will an angle in standard position have a positive tangent value?

Answer 1

1st and 3rd quadrants. You can use the CAST diagram which tells you in which quadrants angles are positive. ie. cos (and its reciprocal sec) is + in the4th quad, All of them + in 1st quad, sin (and its reciprocal cosec) + in 2nd and tan and cot + in 3rd.

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Answer 2

Dylan Arnold

An angle in standard position will have a positive tangent value in Quadrant I and Quadrant III.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.