What is expand 1/2 \H(t+pi/4)sin(2(t+pi/4))+2sin(2t) ?

The solution to expand 1/2 \H(t+pi/4)sin(2(t+pi/4))+2sin(2t) is 1/2 \H(t+pi/4)cos(2t)+2sin(2t)

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expand 1/2 \H(t+pi/4)sin(2(t+pi/4))+2sin(2t)

expand

\frac{1}{2} H (t + \frac{π}{4}) sin (2 (t + \frac{π}{4})) + 2 sin (2 t)

\frac{1}{2} H (t + \frac{π}{4}) cos (2 t) + 2 sin (2 t)

Solution steps

\frac{1}{2} H (t + \frac{π}{4}) sin (2 (t + \frac{π}{4})) + 2 sin (2 t)

\frac{1}{2} H (t + \frac{π}{4}) sin (2 (t + \frac{π}{4})) = \frac{1}{2} H (t + \frac{π}{4}) cos (2 t)

= \frac{1}{2} H (t + \frac{π}{4}) cos (2 t) + 2 sin (2 t)

(a^{\frac{3}{2}} + b^{\frac{3}{2}})^{2}

3 e^{x} tan (y) d x + (1 - e^{x}) sec^{2} (y) d y

(sin (x) + sin (2 x) + sin (3 x))^{2}

(e^{17 x} - e^{- 20 x})^{2}

(x - 2 y + 4) d x + (2 x - y + 2) d y

What is expand 1/2 \H(t+pi/4)sin(2(t+pi/4))+2sin(2t) ?
The solution to expand 1/2 \H(t+pi/4)sin(2(t+pi/4))+2sin(2t) is 1/2 \H(t+pi/4)cos(2t)+2sin(2t)