Question

How do I determine all points of intersection:
y = cos(x) and y = sin(x) in the first quadrant

Answer 1

are you trying to find where it intersects the x-axis?

Answer 2

No I need to find where both equations intersect each other!

Answer 3

ahhhh....are you familiar with the graphs of sin and cos?

Answer 4

Slightly!!

Answer 5

how about the unit circle?
basically what you have to do is find out where sin(x)=cos(x)

Answer 6

and solve for x

Answer 7

where does sin(x) equal cos(x)?

Answer 8

uhhhh at 30 and 60 degrees?

Answer 9

no

Answer 10

in between 30 and 60

Answer 11

Oh 45!

Answer 12

yes! or \[\pi/4 \] radians

Answer 13

That's it? And that's in the first quadrant, perfect!

Answer 14

do you understand how we came up with it?

Answer 15

Yup! It's so easy now I can do the next two questions really quickly!

Answer 16

ok good!!!!