Answers: 1
![\bf \qquad \qquad \textit{triple-angle identity}\\\\ sin(3\theta)=3sin(\theta)-4sin^3(\theta)\\\\ \left. \qquad \qquad \right.\textit{quad-angle identity}\\\\ sin(4\theta)= \begin{cases} 8sin(\theta)cos^3(\theta)=4sin(\theta)cos(\theta)\\\\ \boxed{4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)} \end{cases}\\\\ -----------------------------\\\\ 2cos(x)[sin(3x)-sin(x)]=sin(4x)\\\\ -----------------------------\\\\](/tpl/images/0289/7473/68440.png)
![\bf 2cos(x)[sin(3x)-sin(x)]\implies 2cos(x)[3sin(x)-4sin^3(x)-sin(x)] \\\\\\ 2cos(x)[2sin(x)-4sin^3(x)]\implies \boxed{4sin(x)cos(x)-8sin^3(x)cos(x)}](/tpl/images/0289/7473/e337a.png)
Another question on Mathematics
Mathematics, 21.06.2019 17:00
Which inequality comparing two of the expressions is true when 0.7 < x < 0.9
Answers: 1
Mathematics, 21.06.2019 19:30
Carlos spent 1 1/4 hours doing his math homework he spent 1/4 of his time practicing his multiplication facts how many hours to carlos been practicing his multiplication facts
Answers: 2
Mathematics, 21.06.2019 23:20
Which expression is a factor of 12x2 + 29x – 8? x – 8 2x – 1 3x + 8 4x + 1
Answers: 1
You know the right answer?
Verify the identity: 2cosx(sin3x-sinx) = sin4x...
Questions
Mathematics, 24.06.2019 10:50
Spanish, 24.06.2019 11:00
