What is sqrt(2)sin(x+45) ?

The solution to sqrt(2)sin(x+45) is sin(x)+cos(x)

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simplify sqrt(2)sin(x+45)

simplify

2 sin (x + 4 5^{\circ})

sin (x) + cos (x)

Solution steps

2 sin (x + 4 5^{\circ})

Rewrite using trig identities

= 2 \frac{2 sin ( x ) + 2 cos ( x )}{2}

Simplify

2 \frac{2 sin ( x ) + 2 cos ( x )}{2} : sin (x) + cos (x)

= sin (x) + cos (x)

2 cos (πn)

- 2 sin (x - (\frac{( π )}{( 4 )})) + 1

\frac{( 0.5 )}{4 sin ( 37 d e g )}

cot (x + 9 0^{\circ})

- cos (- 4 t)