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Use Power-Reducing Formulas To Rewrite Trigonometric Functions

Write an equivalent expression for 3x that does not involve any powers of sine or cosine greater than 1

$\frac{\left(3-3co\left(2x\right)\right)}{1+co\left(2x\right)}$

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{\left(1-co\left(2x\right)\right)}{\left(1+co\left(2x\right)\right)}$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

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

$2\left(3-4\cos\left(2x\right)+\cos\left(4x\right)\right)$

$\frac{1}{8}\left(3-4\cos2x+\cos4x\right)$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

$\frac{1}{2}\left(3-4\cos2x+4\cos4x\right)$

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{1}{8}\left(3-4\cos2x+\cos4x\right)$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

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

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{1}{8}\left(3-4\cos2x+\cos4x\right)$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

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

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{\left(1-co\left(2x\right)\right)}{\left(1-co\left(2x\right)\right)}$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

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

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

Write an equivalent expression for 2x that does not involve any powers of sine or cosine greater than 1

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

$\left(1-co\left(2x\right)\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

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

$\frac{15}{4}+5\cos\left(2x\right)+\frac{5}{4}\cos\left(4x\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

$\frac{3}{8}+\frac{1}{2}\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

$\frac{15}{4}+5\cos\left(2x\right)+\frac{5}{4}\cos\left(4x\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

$\frac{3}{8}+\frac{1}{2}\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

$\frac{15}{2}+10\cos\left(2x\right)+\frac{5}{2}\cos\left(4x\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

Questions

Time

Score

Use Power-Reducing Formulas To Rewrite Trigonometric Functions

Write an equivalent expression for 3x that does not involve any powers of sine or cosine greater than 1

﻿(3−3co(2x))1+co(2x)\frac{\left(3-3co\left(2x\right)\right)}{1+co\left(2x\right)}1+co(2x)(3−3co(2x))​﻿

﻿12(1−co(2x))\frac{1}{2}\left(1-co\left(2x\right)\right)21​(1−co(2x))﻿

﻿(1−co(2x))(1+co(2x))\frac{\left(1-co\left(2x\right)\right)}{\left(1+co\left(2x\right)\right)}(1+co(2x))(1−co(2x))​﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿12(1+co(2x))\frac{1}{2}\left(1+co\left(2x\right)\right)21​(1+co(2x))﻿

﻿2(3−4cos⁡(2x)+cos⁡(4x))2\left(3-4\cos\left(2x\right)+\cos\left(4x\right)\right)2(3−4cos(2x)+cos(4x))﻿

﻿18(3−4cos⁡2x+cos⁡4x)\frac{1}{8}\left(3-4\cos2x+\cos4x\right)81​(3−4cos2x+cos4x)﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿12(3−4cos⁡2x+4cos⁡4x)\frac{1}{2}\left(3-4\cos2x+4\cos4x\right)21​(3−4cos2x+4cos4x)﻿

﻿12(1−co(2x))\frac{1}{2}\left(1-co\left(2x\right)\right)21​(1−co(2x))﻿

﻿18(3−4cos⁡2x+cos⁡4x)\frac{1}{8}\left(3-4\cos2x+\cos4x\right)81​(3−4cos2x+cos4x)﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿12(1+co(2x))\frac{1}{2}\left(1+co\left(2x\right)\right)21​(1+co(2x))﻿

﻿12(1−co(2x))\frac{1}{2}\left(1-co\left(2x\right)\right)21​(1−co(2x))﻿

﻿18(3−4cos⁡2x+cos⁡4x)\frac{1}{8}\left(3-4\cos2x+\cos4x\right)81​(3−4cos2x+cos4x)﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿12(1+co(2x))\frac{1}{2}\left(1+co\left(2x\right)\right)21​(1+co(2x))﻿

﻿12(1−co(2x))\frac{1}{2}\left(1-co\left(2x\right)\right)21​(1−co(2x))﻿

﻿(1−co(2x))(1−co(2x))\frac{\left(1-co\left(2x\right)\right)}{\left(1-co\left(2x\right)\right)}(1−co(2x))(1−co(2x))​﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿12(1+co(2x))\frac{1}{2}\left(1+co\left(2x\right)\right)21​(1+co(2x))﻿

﻿12(1−co(2x))\frac{1}{2}\left(1-co\left(2x\right)\right)21​(1−co(2x))﻿

﻿cos⁡(2x)+18cos⁡(4x)\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)cos(2x)+81​cos(4x)﻿

Write an equivalent expression for 2x that does not involve any powers of sine or cosine greater than 1

﻿12(1+co(2x))\frac{1}{2}\left(1+co\left(2x\right)\right)21​(1+co(2x))﻿

﻿(1−co(2x))\left(1-co\left(2x\right)\right)(1−co(2x))﻿

﻿cos⁡(2x)+18cos⁡(4x)\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)cos(2x)+81​cos(4x)﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿12(1+co(2x))\frac{1}{2}\left(1+co\left(2x\right)\right)21​(1+co(2x))﻿

﻿154+5cos⁡(2x)+54cos⁡(4x)\frac{15}{4}+5\cos\left(2x\right)+\frac{5}{4}\cos\left(4x\right)415​+5cos(2x)+45​cos(4x)﻿

﻿cos⁡(2x)+18cos⁡(4x)\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)cos(2x)+81​cos(4x)﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿38+12cos⁡(2x)+18cos⁡(4x)\frac{3}{8}+\frac{1}{2}\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)83​+21​cos(2x)+81​cos(4x)﻿

﻿154+5cos⁡(2x)+54cos⁡(4x)\frac{15}{4}+5\cos\left(2x\right)+\frac{5}{4}\cos\left(4x\right)415​+5cos(2x)+45​cos(4x)﻿

﻿cos⁡(2x)+18cos⁡(4x)\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)cos(2x)+81​cos(4x)﻿

Write an equivalent expression for x that does not involve any powers of sine or cosine greater than 1

﻿38+12cos⁡(2x)+18cos⁡(4x)\frac{3}{8}+\frac{1}{2}\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)83​+21​cos(2x)+81​cos(4x)﻿

﻿152+10cos⁡(2x)+52cos⁡(4x)\frac{15}{2}+10\cos\left(2x\right)+\frac{5}{2}\cos\left(4x\right)215​+10cos(2x)+25​cos(4x)﻿

﻿cos⁡(2x)+18cos⁡(4x)\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)cos(2x)+81​cos(4x)﻿

Incorrect

Great!

$\frac{\left(3-3co\left(2x\right)\right)}{1+co\left(2x\right)}$

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{\left(1-co\left(2x\right)\right)}{\left(1+co\left(2x\right)\right)}$

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

$2\left(3-4\cos\left(2x\right)+\cos\left(4x\right)\right)$

$\frac{1}{8}\left(3-4\cos2x+\cos4x\right)$

$\frac{1}{2}\left(3-4\cos2x+4\cos4x\right)$

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{1}{8}\left(3-4\cos2x+\cos4x\right)$

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

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{1}{8}\left(3-4\cos2x+\cos4x\right)$

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

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\frac{\left(1-co\left(2x\right)\right)}{\left(1-co\left(2x\right)\right)}$

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

$\frac{1}{2}\left(1-co\left(2x\right)\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

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

$\left(1-co\left(2x\right)\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

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

$\frac{15}{4}+5\cos\left(2x\right)+\frac{5}{4}\cos\left(4x\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

$\frac{3}{8}+\frac{1}{2}\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

$\frac{15}{4}+5\cos\left(2x\right)+\frac{5}{4}\cos\left(4x\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

$\frac{3}{8}+\frac{1}{2}\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$

$\frac{15}{2}+10\cos\left(2x\right)+\frac{5}{2}\cos\left(4x\right)$

$\cos\left(2x\right)+\frac{1}{8}\cos\left(4x\right)$