Question

In what quadrant is secant negative and tangent positive?

Answer 1

Remember this :All Silver Tea Cups.
1st 2nd 3rd 4th
here 1,2,3,4, are the respective quadrants.
ALL(In 1st quadrant -All trigonometric functions are positive.)
SILVER -refers to Sine function which is +ve in 2nd Q
TEA-refers to tangent function which is +ve in 3rd Q
CUPS-refers to cosine function which is +ve in 4th quadrant

x is +ve so 1/x is also positive.
Applies even to the trigonometric functions