In which quardant are the terminal arms of the angle lie when sin thita is less then zero and cos thita is greater then zero?

Answer 1

The fourth

Across the quadrants sin theta and cos theta vary:

sin theta: + + - -

cos theta: + - - +

So for sin theta < 0, it's the third or fourth quadrant

And for cos theta > 0 , it's the first or fourth quadrant.

So for sin theta < 0 and cos theta > 0 it's the fourth quadrant