Mathematics, 11.12.2019 02:31 anggar20
Find the expansions of sin5θ and cos5θ in terms of sinθ and cosθ.
Answers: 1
![\bf sin(5\theta)\iff sin(4\theta + \theta) \\\\\\ sin(4\theta)cos(\theta)+cos(4\theta)sin(\theta) \\\\\\\ [4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]cos(\theta)\\\\ + [8cos^4(\theta)-8cos^2(\theta)+1]sin(\theta)](/tpl/images/0412/8100/dbeb5.png)
![\bf -----------------------------\\\\ cos(5\theta)\iff cos(4\theta + \theta) \\\\\\ cos(4\theta)cos(\theta)-sin(4\theta)sin(\theta)\\\\\\\ [8cos^4(\theta)-8cos^2(\theta)+1]cos(\theta)\\\\ - [4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]sin(\theta)](/tpl/images/0412/8100/d31ca.png)
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Find the expansions of sin5θ and cos5θ in terms of sinθ and cosθ....
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