Question

1) Sin x + cos x = ?

Answer 1

 Sin x + cos x = 1

Answer 2

=\(\sqrt{2}.\sin\left(x+\dfrac{\pi}{4}\right)\)

Answer 3

Answer 4

\(sinx+cosx=\sqrt{2}cos\left(x-\dfrac{\pi}{4}\right)\)

Answer 5

\(sinx+cosx=sinx+sin\left(\dfrac{\pi}{2}-x\right)=2sin\dfrac{\pi}{4}.cos\left(x-\dfrac{\pi}{4}\right)=\sqrt{2}cos\left(x-\dfrac{\pi}{4}\right)\)