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Identify the quadrant or quadrants in which an angle A in standard position must be if csc A > 0 and tan A < 0?

Answer 1

On the trig unit circle, since tan x < 0, then x should be in Quadrant II or Quadrant IV. Since #csc = 1/sin x > 0# -> sin x > 0, then x should be in Quadrant II.

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Answer 2

Zoe Austin

Angle A must be located in Quadrant II, as csc A > 0 means that the sine function (and hence csc A) is positive, and tan A < 0 means that the tangent function is negative. In Quadrant II, both sine and tangent are positive, while cosine is negative.

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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.

Identify the quadrant or quadrants in which an angle A in standard position must be if csc A &gt; 0 and tan A &lt; 0?

Identify the quadrant or quadrants in which an angle A in standard position must be if csc A > 0 and tan A < 0?