Question

sin(theta) + cos(theta) = square root of 2

Answer 1

i would guess
\[\frac{\pi}{4}\]

Answer 2

since both sine and cosine give
\[\sin(\frac{\pi}{4})=\cos(\frac{\pi}{4})=\frac{\sqrt{2}}{2}\]

Answer 3

how do we know theta = pi/4?

Answer 4

because i know that both sine and cosine are
\[\frac{\sqrt{2}}{2}\] there so when you add them you will get
\[\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}=\sqrt{2}\]

Answer 5

Okay make sense.
Thank you so much!

Answer 6

yw