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In which quadrants do cosine and tangent have the same sign?

Answer 1

James Adkins

Cosine and tangent have the same sign in quadrant in #I# and #II# quadrants.

The following table displays the trigonometric ratios' quadrants and signs.

#[(Ratio,I,II,III,IV),(sin,+,+,-,-),(cos,+,-,-,+),(tan,+,-,+,-),(cot,+,-,+,-),(sec,+,-,-,+),(csc,+,+,-,-)]#

Hence, cosine and tangent have the same sign in quadrant in #I# and #II# quadrants.

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Answer 2

Emery Adkins

Cosine and tangent have the same sign in the first quadrant and the third quadrant.

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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.