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Time

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Use Multiple-Angle Formulas To Rewrite Trigonometric Functions

Use multiple-angle formula to rewrite (sin2x)/(1+cos2x)

$4x-4x$

$\tan x$

$\frac{2\tan5x}{1+5x}$

Use multiple-angle formula to rewrite cos4x

$2x-2x$

$2\sin3x\cos3x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

Use multiple-angle formula to rewrite tan12x

$4x-4x$

$2\sin3x\cos3x$

$\frac{2\tan6x}{1+6x}$

Use multiple-angle formula to rewrite (1-cosx)/(sinx)

$4x-4x$

$2\sin3x\cos3x$

$\tan\tan\left(\frac{x}{\left(2\right)}\right)$

Use multiple-angle formula to rewrite sin6x

$\frac{2\tan4x}{1+\tan^24x}$

$2\sin3x\cos3x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

Use multiple-angle formula to rewrite cos8x

$4x-4x$

$2\sin3x\cos3x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

Use multiple-angle formula to rewrite tan10x

$4x-4x$

$2\sin3x\cos3x$

$\frac{2\tan5x}{1+5x}$

Use multiple-angle formula to rewrite cos 6x in term of tanx

$\frac{2\tan4x}{1+\tan^24x}$

$\frac{\tan4x}{4x}$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

Use multiple-angle formula to rewrite sin2x

$\frac{2\tan4x}{1+\tan^24x^{ }}$

$2\sin x\cos x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

Use multiple-angle formula to rewrite 1+tanxtan2x

$\sec2x$

$\sin3x$

$\frac{2\tan5x}{1+5x}$

Questions

Time

Score

Use Multiple-Angle Formulas To Rewrite Trigonometric Functions

Use multiple-angle formula to rewrite (sin2x)/(1+cos2x)

﻿4x−4x4x-4x4x−4x﻿

﻿tan⁡x\tan xtanx﻿

﻿2tan⁡5x1+5x\frac{2\tan5x}{1+5x}1+5x2tan5x​﻿

Use multiple-angle formula to rewrite cos4x

﻿2x−2x2x-2x2x−2x﻿

﻿2sin⁡3xcos⁡3x2\sin3x\cos3x2sin3xcos3x﻿

﻿(1−3x)(1+3x)\frac{\left(1-3x\right)}{\left(1+3x\right)}(1+3x)(1−3x)​﻿

Use multiple-angle formula to rewrite tan12x

﻿4x−4x4x-4x4x−4x﻿

﻿2sin⁡3xcos⁡3x2\sin3x\cos3x2sin3xcos3x﻿

﻿2tan⁡6x1+6x\frac{2\tan6x}{1+6x}1+6x2tan6x​﻿

Use multiple-angle formula to rewrite (1-cosx)/(sinx)

﻿4x−4x4x-4x4x−4x﻿

﻿2sin⁡3xcos⁡3x2\sin3x\cos3x2sin3xcos3x﻿

﻿tan⁡tan⁡(x(2))\tan\tan\left(\frac{x}{\left(2\right)}\right)tantan((2)x​)﻿

Use multiple-angle formula to rewrite sin6x

﻿2tan⁡4x1+tan⁡24x\frac{2\tan4x}{1+\tan^24x}1+tan24x2tan4x​﻿

﻿2sin⁡3xcos⁡3x2\sin3x\cos3x2sin3xcos3x﻿

﻿(1−3x)(1+3x)\frac{\left(1-3x\right)}{\left(1+3x\right)}(1+3x)(1−3x)​﻿

Use multiple-angle formula to rewrite cos8x

﻿4x−4x4x-4x4x−4x﻿

﻿2sin⁡3xcos⁡3x2\sin3x\cos3x2sin3xcos3x﻿

﻿(1−3x)(1+3x)\frac{\left(1-3x\right)}{\left(1+3x\right)}(1+3x)(1−3x)​﻿

Use multiple-angle formula to rewrite tan10x

﻿4x−4x4x-4x4x−4x﻿

﻿2sin⁡3xcos⁡3x2\sin3x\cos3x2sin3xcos3x﻿

﻿2tan⁡5x1+5x\frac{2\tan5x}{1+5x}1+5x2tan5x​﻿

Use multiple-angle formula to rewrite cos 6x in term of tanx

﻿2tan⁡4x1+tan⁡24x\frac{2\tan4x}{1+\tan^24x}1+tan24x2tan4x​﻿

﻿tan⁡4x4x\frac{\tan4x}{4x}4xtan4x​﻿

﻿(1−3x)(1+3x)\frac{\left(1-3x\right)}{\left(1+3x\right)}(1+3x)(1−3x)​﻿

Use multiple-angle formula to rewrite sin2x

﻿2tan⁡4x1+tan⁡24x\frac{2\tan4x}{1+\tan^24x^{ }}1+tan24x2tan4x​﻿

﻿2sin⁡xcos⁡x2\sin x\cos x2sinxcosx﻿

﻿(1−3x)(1+3x)\frac{\left(1-3x\right)}{\left(1+3x\right)}(1+3x)(1−3x)​﻿

Use multiple-angle formula to rewrite 1+tanxtan2x

﻿sec⁡2x\sec2xsec2x﻿

﻿sin⁡3x\sin3xsin3x﻿

﻿2tan⁡5x1+5x\frac{2\tan5x}{1+5x}1+5x2tan5x​﻿

Incorrect

Great!

$4x-4x$

$\tan x$

$\frac{2\tan5x}{1+5x}$

$2x-2x$

$2\sin3x\cos3x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

$4x-4x$

$2\sin3x\cos3x$

$\frac{2\tan6x}{1+6x}$

$4x-4x$

$2\sin3x\cos3x$

$\tan\tan\left(\frac{x}{\left(2\right)}\right)$

$\frac{2\tan4x}{1+\tan^24x}$

$2\sin3x\cos3x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

$4x-4x$

$2\sin3x\cos3x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

$4x-4x$

$2\sin3x\cos3x$

$\frac{2\tan5x}{1+5x}$

$\frac{2\tan4x}{1+\tan^24x}$

$\frac{\tan4x}{4x}$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

$\frac{2\tan4x}{1+\tan^24x^{ }}$

$2\sin x\cos x$

$\frac{\left(1-3x\right)}{\left(1+3x\right)}$

$\sec2x$

$\sin3x$

$\frac{2\tan5x}{1+5x}$