What is 2sin(2x-pi/4)+1 ?

The solution to 2sin(2x-pi/4)+1 is sqrt(2)sin(2x)-sqrt(2)cos(2x)+1

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simplify 2sin(2x-pi/4)+1

simplify

2 sin (2 x - \frac{π}{4}) + 1

2 sin (2 x) - 2 cos (2 x) + 1

Solution steps

2 sin (2 x - \frac{π}{4}) + 1

Rewrite using trig identities

= 2 \cdot \frac{2 sin ( 2 x ) - 2 cos ( 2 x )}{2} + 1

2 \cdot \frac{2 sin ( 2 x ) - 2 cos ( 2 x )}{2} = 2 sin (2 x) - 2 cos (2 x)

= 2 sin (2 x) - 2 cos (2 x) + 1

- sin (\cdot (- sin (x)))

cos^{2} (x + \frac{π}{2})

sin (arcsec (\frac{x}{6}))

sin (\frac{π}{2} + φ)

sec (9 0^{\circ} + θ)

What is 2sin(2x-pi/4)+1 ?
The solution to 2sin(2x-pi/4)+1 is sqrt(2)sin(2x)-sqrt(2)cos(2x)+1