Question

Find all solutions to the equation.

cos x = sin x

Answer 1

Recall that cos x and sin x are the coordinates of a point on the unit circle. So imagine a circle and ask yourself where the x and y coordinates are equal.

Answer 2

at 45

Answer 3

Yes, there's one other place.

Answer 4

225

Answer 5

so at 225 ans 45

Answer 6

Yes, that's correct. Of course, you could just keep going around the circle, so in degrees you might say

x = 45 + n*180 where n is any integer.

Answer 7

Or similarly in radians
\[ x = \frac{\pi}{4} + n \pi \]

Answer 8

@Jemurray3 is this the answer

pi divided by four plus n pi such that n equals zero, plus or minus one, plus or minus two to infinity