What is 3sin(2x-pi/4)+2 ?

The solution to 3sin(2x-pi/4)+2 is (3(sqrt(2)sin(2x)-sqrt(2)cos(2x)))/2+2

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simplify 3sin(2x-pi/4)+2

simplify

3 sin (2 x - \frac{π}{4}) + 2

\frac{3 ( 2 sin ( 2 x ) - 2 cos ( 2 x ) )}{2} + 2

Solution steps

3 sin (2 x - \frac{π}{4}) + 2

Rewrite using trig identities

= 3 \cdot \frac{2 sin ( 2 x ) - 2 cos ( 2 x )}{2} + 2

Multiply

3 \cdot \frac{2 sin ( 2 x ) - 2 cos ( 2 x )}{2} : \frac{3 ( 2 sin ( 2 x ) - 2 cos ( 2 x ) )}{2}

= \frac{3 ( 2 sin ( 2 x ) - 2 cos ( 2 x ) )}{2} + 2

1 - cot (\frac{π}{2} - x)

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

sin (\frac{19 π}{2} + x)

4 cos (π + x)

\frac{d y}{tan ( y )}

What is 3sin(2x-pi/4)+2 ?
The solution to 3sin(2x-pi/4)+2 is (3(sqrt(2)sin(2x)-sqrt(2)cos(2x)))/2+2