In Exercises 19 42 solve the equation giving the exact solu

In Exercises 19 - 42, solve the equation, giving the exact solutions which lie in [0, 2)

19. sin (x) = cos (x)

Solution

Let\'s look at the unit circle.

At pi/4, both sine and cosine have values root2 / 2.

At 5pi/4, both sine and cosine have values -root2/ 2

So, sin x = cos x at

pi/4 , 5pi/4 (Answer)