Question

give an example of a real number θ for which cosθ is positive and sinθ is negative

Answer 1

sin(theta) represents numbers that revolve around the y axis, and cos(theta) represents numbers that revolve around the x axis. for example, cos(0) = 1, because at 0 degrees the coordinates are (1,0) so what quadrant is x positive and y negative. that is the range that theta will be the answer

Answer 2

thanks :) im confused. what will the final answer be?

Answer 3

In degrees:
the quadrant where x is positive and y is negative is the 4th quadrant of the xy plane.
so in a circle, that is any number greater than 270 and less than 360

in radians:
it is any number greater than 3*pi/2 and less than 2*pi

Answer 4

so just pick a number from that range. i dont know what you normally work with

Answer 5

do you want it in degrees?

Answer 6

yes please

Answer 7

315 works

Answer 8

thanks so much :)