Question

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

Answer 1

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

Explanation:

Quadrants and signs of trigonometric ratios are brought out in following table.

`[(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.