Let Ø be an angle in standard position. Name the quadrant in which it lies.

Question

Cot Ø > 0, Sec Ø < 0

Answer 1

Remember ADD SUGAR TO COFFEE

A all trig functions positive in quad.1

S sine positive in quad.2

T tangent positive in quad. 3

C cosine positive in quad. 4

(Same applies to their reciprocals)

So tangent is positive and cosine negative

In quad. 3

Answer 2

cotangent of an angle is greater than zero in Quadrants I and III

cotangent is adjacent side over opposite side, both are positive in Quadrant I

both are negative in Quadrant III. negative divided by negative is positive

secant is the inverse of cosine. both are negative in Quadrants II and III

secant is the hypotenuse over adjacent side. hypotenuse is always positive

adjacent side is negative in quadrants II and III