Question

Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos(t)>0, tan(t)>0

Answer 1

cos(angle) look at the 'x' axis, so cos(t)>0, means positive x, or quadrants I and IV.

tan(angle)  = sin(angle)/cos(angle),  so it's a division. sin(angle) has the sign of the y axis.

So, tan(t)>0, mus be +/+ or -/-,  quadrant I or III, respectively.

The only in common is quadrant I. Hope it helps for the next one!