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

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

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

simplify

4 sin (2 x - \frac{π}{4}) + 1

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

Solution steps

4 sin (2 x - \frac{π}{4}) + 1

Rewrite using trig identities

= 4 \cdot \frac{2 sin ( 2 x ) - 2 cos ( 2 x )}{2} + 1

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

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

tan (arccos (w))

cos (- n \cdot π)

sec (x - \frac{2 π}{3})

(1 - sin^{2} (x))^{\frac{1}{2}}

sin (2 cos (- 1 (x^{2})))

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