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Questions

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Time

Score

Use Double-Angle Formulas To Rewrite Trigonometric Functions

Use double-angle formula to rewrite sin 12x

$\left(1+\tan^24x\right)$

$2\sin6x\cos6x$

$1+3x$

Use double-angle formula to rewrite cos 8x

$4x-4x$

$2\sin3x\cos3x$

$1-3x$

Use double-angle formula to rewrite $\cot\ \cot x+\tan\tan x$

$2\csc\ \csc\ x$

$2\sin3x\cos3x$

$2\ \csc\ \csc\ 2x$

Use double-angle formula to rewrite $\cos2x\left(1+\tan x\tan2x\right)$

$\sec\ 2x$

$\sin\left(3x\right)$

1

Use double-angle formula to rewrite $\frac{\sin2x}{1+\cos2x}$

$4x-4x$

$\tan x$

$\left(2\tan5x\right)$

Use double-angle formula to rewrite x-x

$2x-2x$

$\cos2x$

$1-3x$

Use double-angle formula to rewrite tan 14x

$4x-4x$

$2\sin3x\cos3x$

$\frac{\left(2\tan7x\right)}{1+7x}$

Use double-angle formula to rewrite (sinx+cosx)²

$1+\sin2x$

$2\sin x\cos x$

$1+3x$

Use double-angle formula to rewrite $\frac{\sin2x}{\cos x}$

$2\sin x$

$2\cos\cos x$

$\left(1-3x\right)$

Use double-angle formula to rewrite $\frac{\sin2x}{\sin x\cos x}$

$4x-4x$

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

Questions

Time

Score

Use Double-Angle Formulas To Rewrite Trigonometric Functions

Use double-angle formula to rewrite sin 12x

﻿(1+tan⁡24x)\left(1+\tan^24x\right)(1+tan24x)﻿

﻿2sin⁡6xcos⁡6x2\sin6x\cos6x2sin6xcos6x﻿

﻿1+3x1+3x1+3x﻿

Use double-angle formula to rewrite cos 8x

﻿4x−4x4x-4x4x−4x﻿

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

﻿1−3x1-3x1−3x﻿

Use double-angle formula to rewrite ﻿cot⁡ cot⁡x+tan⁡tan⁡x\cot\ \cot x+\tan\tan xcot cotx+tantanx﻿

﻿2csc⁡ csc⁡ x2\csc\ \csc\ x2csc csc x﻿

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

﻿2 csc⁡ csc⁡ 2x2\ \csc\ \csc\ 2x2 csc csc 2x﻿

Use double-angle formula to rewrite﻿cos⁡2x(1+tan⁡xtan⁡2x)\cos2x\left(1+\tan x\tan2x\right)cos2x(1+tanxtan2x)﻿

﻿sec⁡ 2x\sec\ 2xsec 2x﻿

﻿sin⁡(3x)\sin\left(3x\right)sin(3x)﻿

1

Use double-angle formula to rewrite ﻿sin⁡2x1+cos⁡2x\frac{\sin2x}{1+\cos2x}1+cos2xsin2x​﻿

﻿4x−4x4x-4x4x−4x﻿

﻿tan⁡x\tan xtanx﻿

﻿(2tan⁡5x)\left(2\tan5x\right)(2tan5x)﻿

Use double-angle formula to rewrite x-x

﻿2x−2x2x-2x2x−2x﻿

﻿cos⁡2x\cos2xcos2x﻿

﻿1−3x1-3x1−3x﻿

Use double-angle formula to rewrite tan 14x

﻿4x−4x4x-4x4x−4x﻿

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

﻿(2tan⁡7x)1+7x\frac{\left(2\tan7x\right)}{1+7x}1+7x(2tan7x)​﻿

Use double-angle formula to rewrite (sinx+cosx)2

﻿1+sin⁡2x1+\sin2x1+sin2x﻿

﻿2sin⁡xcos⁡x2\sin x\cos x2sinxcosx﻿

﻿1+3x1+3x1+3x﻿

Use double-angle formula to rewrite ﻿sin⁡2xcos⁡x\frac{\sin2x}{\cos x}cosxsin2x​﻿

﻿2sin⁡x2\sin x2sinx﻿

﻿2cos⁡cos⁡x2\cos\cos x2coscosx﻿

﻿(1−3x)\left(1-3x\right)(1−3x)﻿

Use double-angle formula to rewrite ﻿sin⁡2xsin⁡xcos⁡x\frac{\sin2x}{\sin x\cos x}sinxcosxsin2x​﻿

﻿4x−4x4x-4x4x−4x﻿

2

﻿tan⁡tan⁡(x2)\tan\tan\left(\frac{x}{2}\right)tantan(2x​)﻿

Incorrect

Great!

$\left(1+\tan^24x\right)$

$2\sin6x\cos6x$

$1+3x$

$4x-4x$

$2\sin3x\cos3x$

$1-3x$

Use double-angle formula to rewrite $\cot\ \cot x+\tan\tan x$

$2\csc\ \csc\ x$

$2\sin3x\cos3x$

$2\ \csc\ \csc\ 2x$

Use double-angle formula to rewrite $\cos2x\left(1+\tan x\tan2x\right)$

$\sec\ 2x$

$\sin\left(3x\right)$

Use double-angle formula to rewrite $\frac{\sin2x}{1+\cos2x}$

$4x-4x$

$\tan x$

$\left(2\tan5x\right)$

$2x-2x$

$\cos2x$

$1-3x$

$4x-4x$

$2\sin3x\cos3x$

$\frac{\left(2\tan7x\right)}{1+7x}$

Use double-angle formula to rewrite (sinx+cosx)²

$1+\sin2x$

$2\sin x\cos x$

$1+3x$

Use double-angle formula to rewrite $\frac{\sin2x}{\cos x}$

$2\sin x$

$2\cos\cos x$

$\left(1-3x\right)$

Use double-angle formula to rewrite $\frac{\sin2x}{\sin x\cos x}$

$4x-4x$

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