Question 1172993
<br>
They intersect when sin(x) = cos(x)...<br>
which is when sin(x)/cos(x) = tan(x) = 1...<br>
which is when the angle x is 45 degrees in quadrant I or when it is 225 degrees in quadrant III.<br>
They also intersect when the angle is any multiple of 360 degrees more than either 45 degrees or 225 degrees.<br>
At 45 degrees, {{{sin(x) = cos(x) = sqrt(2)/2}}}<br>
At 225 degrees, {{{sin(x) = cos(x) = -sqrt(2)/2}}}<br>
ANSWERS (angles in degrees):
(45, sqrt(2)/2); (225, -sqrt(2)/2)<br>