|BSM

Questions

1 / 10

Time

Score

Use Sum-To-Product Formulas To Rewrite Trigonometric Functions

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\sin\sin\left(3x\right)+\sin\sin\left(x\right)\right)$

$\sin2x\cos x$

$\sin2x\cos3x$

$\sin2x\cos5x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(2x\right)+\cos\cos10x\right)$

$\sin\sin\left(5x\right)\sin\sin\left(x\right)$

$\sin6x\sin4x$

$\sin6x\sin x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(x\right)+\cos\cos5x\right)$

$\sin3x\sin x$

$\sin x\sin2x$

$\sin3x\sin2x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\sin\sin\left(11x\right)+\sin\sin x\right)$

$4\sin6x\cos5x$

$\sin x\cos5x$

$\sin6x\cos5x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(3x\right)+\cos\cos7x\right)$

$\sin x\sin2x$

$\sin5x\sin2x$

$\sin5x\sin x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(3x\right)-\cos\cos11x\right)$

$\sin7x\sin x$

$\sin x\sin4x$

$\sin7x\sin4x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(-x\right)+\cos\cos\left(3x\right)\right)$

$\cos x\cos2x$

$3\cos x\cos2x$

$\cos4x\cos2x$

Use sum-to-product formulas to rewrite $\frac{1}{2}\left(\cos\left(x-y\right)+\cos\left(x+y\right)\right)$

$2\cos x\cos y$

$\frac{1}{2}\left(\cos x\cos y\right)$

$\cos x\cos y$

Use sum-to-product formulas to rewrite $\sin3x\cos2x$

$\sin5x\sin\sin x$

$\sin x\cos2x$

$\sin3x\cos2x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\sin\sin\left(6x\right)+\sin\sin2x\right)$

$\sin x\cos2x$

$\sin4x\cos x$

$\sin4x\cos2x$

Questions

Time

Score

Use Sum-To-Product Formulas To Rewrite Trigonometric Functions

Use sum-to-product formulas to rewrite: ﻿12(sin⁡sin⁡(3x)+sin⁡sin⁡(x))\frac{1}{2}\left(\sin\sin\left(3x\right)+\sin\sin\left(x\right)\right)21​(sinsin(3x)+sinsin(x))﻿

﻿sin⁡2xcos⁡x\sin2x\cos xsin2xcosx﻿

﻿sin⁡2xcos⁡3x\sin2x\cos3xsin2xcos3x﻿

﻿sin⁡2xcos⁡5x\sin2x\cos5xsin2xcos5x﻿

Use sum-to-product formulas to rewrite:﻿12(cos⁡cos⁡(2x)+cos⁡cos⁡10x)\frac{1}{2}\left(\cos\cos\left(2x\right)+\cos\cos10x\right)21​(coscos(2x)+coscos10x)﻿

﻿sin⁡sin⁡(5x)sin⁡sin⁡(x)\sin\sin\left(5x\right)\sin\sin\left(x\right)sinsin(5x)sinsin(x)﻿

﻿sin⁡6xsin⁡4x\sin6x\sin4xsin6xsin4x﻿

﻿sin⁡6xsin⁡x\sin6x\sin xsin6xsinx﻿

Use sum-to-product formulas to rewrite:﻿12(cos⁡cos⁡(x)+cos⁡cos⁡5x)\frac{1}{2}\left(\cos\cos\left(x\right)+\cos\cos5x\right)21​(coscos(x)+coscos5x)﻿

﻿sin⁡3xsin⁡x\sin3x\sin xsin3xsinx﻿

﻿sin⁡xsin⁡2x\sin x\sin2xsinxsin2x﻿

﻿sin⁡3xsin⁡2x\sin3x\sin2xsin3xsin2x﻿

Use sum-to-product formulas to rewrite: ﻿12(sin⁡sin⁡(11x)+sin⁡sin⁡x)\frac{1}{2}\left(\sin\sin\left(11x\right)+\sin\sin x\right)21​(sinsin(11x)+sinsinx)﻿

﻿4sin⁡6xcos⁡5x4\sin6x\cos5x4sin6xcos5x﻿

﻿sin⁡xcos⁡5x\sin x\cos5xsinxcos5x﻿

﻿sin⁡6xcos⁡5x\sin6x\cos5xsin6xcos5x﻿

Use sum-to-product formulas to rewrite:﻿12(cos⁡cos⁡(3x)+cos⁡cos⁡7x)\frac{1}{2}\left(\cos\cos\left(3x\right)+\cos\cos7x\right)21​(coscos(3x)+coscos7x)﻿

﻿sin⁡xsin⁡2x\sin x\sin2xsinxsin2x﻿

﻿sin⁡5xsin⁡2x\sin5x\sin2xsin5xsin2x﻿

﻿sin⁡5xsin⁡x\sin5x\sin xsin5xsinx﻿

Use sum-to-product formulas to rewrite:﻿12(cos⁡cos⁡(3x)−cos⁡cos⁡11x)\frac{1}{2}\left(\cos\cos\left(3x\right)-\cos\cos11x\right)21​(coscos(3x)−coscos11x)﻿

﻿sin⁡7xsin⁡x\sin7x\sin xsin7xsinx﻿

﻿sin⁡xsin⁡4x\sin x\sin4xsinxsin4x﻿

﻿sin⁡7xsin⁡4x\sin7x\sin4xsin7xsin4x﻿

Use sum-to-product formulas to rewrite: ﻿12(cos⁡cos⁡(−x)+cos⁡cos⁡(3x))\frac{1}{2}\left(\cos\cos\left(-x\right)+\cos\cos\left(3x\right)\right)21​(coscos(−x)+coscos(3x))﻿

﻿cos⁡xcos⁡2x\cos x\cos2xcosxcos2x﻿

﻿3cos⁡xcos⁡2x3\cos x\cos2x3cosxcos2x﻿

﻿cos⁡4xcos⁡2x\cos4x\cos2xcos4xcos2x﻿

Use sum-to-product formulas to rewrite ﻿12(cos⁡(x−y)+cos⁡(x+y))\frac{1}{2}\left(\cos\left(x-y\right)+\cos\left(x+y\right)\right)21​(cos(x−y)+cos(x+y))﻿

﻿2cos⁡xcos⁡y2\cos x\cos y2cosxcosy﻿

﻿12(cos⁡xcos⁡y)\frac{1}{2}\left(\cos x\cos y\right)21​(cosxcosy)﻿

﻿cos⁡xcos⁡y\cos x\cos ycosxcosy﻿

Use sum-to-product formulas to rewrite ﻿sin⁡3xcos⁡2x\sin3x\cos2xsin3xcos2x﻿

﻿sin⁡5xsin⁡sin⁡x\sin5x\sin\sin xsin5xsinsinx﻿

﻿sin⁡xcos⁡2x\sin x\cos2xsinxcos2x﻿

﻿sin⁡3xcos⁡2x\sin3x\cos2xsin3xcos2x﻿

Use sum-to-product formulas to rewrite: ﻿12(sin⁡sin⁡(6x)+sin⁡sin⁡2x)\frac{1}{2}\left(\sin\sin\left(6x\right)+\sin\sin2x\right)21​(sinsin(6x)+sinsin2x)﻿

﻿sin⁡xcos⁡2x\sin x\cos2xsinxcos2x﻿

﻿sin⁡4xcos⁡x\sin4x\cos xsin4xcosx﻿

﻿sin⁡4xcos⁡2x\sin4x\cos2xsin4xcos2x﻿

Incorrect

Great!

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\sin\sin\left(3x\right)+\sin\sin\left(x\right)\right)$

$\sin2x\cos x$

$\sin2x\cos3x$

$\sin2x\cos5x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(2x\right)+\cos\cos10x\right)$

$\sin\sin\left(5x\right)\sin\sin\left(x\right)$

$\sin6x\sin4x$

$\sin6x\sin x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(x\right)+\cos\cos5x\right)$

$\sin3x\sin x$

$\sin x\sin2x$

$\sin3x\sin2x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\sin\sin\left(11x\right)+\sin\sin x\right)$

$4\sin6x\cos5x$

$\sin x\cos5x$

$\sin6x\cos5x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(3x\right)+\cos\cos7x\right)$

$\sin x\sin2x$

$\sin5x\sin2x$

$\sin5x\sin x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(3x\right)-\cos\cos11x\right)$

$\sin7x\sin x$

$\sin x\sin4x$

$\sin7x\sin4x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\cos\cos\left(-x\right)+\cos\cos\left(3x\right)\right)$

$\cos x\cos2x$

$3\cos x\cos2x$

$\cos4x\cos2x$

Use sum-to-product formulas to rewrite $\frac{1}{2}\left(\cos\left(x-y\right)+\cos\left(x+y\right)\right)$

$2\cos x\cos y$

$\frac{1}{2}\left(\cos x\cos y\right)$

$\cos x\cos y$

Use sum-to-product formulas to rewrite $\sin3x\cos2x$

$\sin5x\sin\sin x$

$\sin x\cos2x$

$\sin3x\cos2x$

Use sum-to-product formulas to rewrite: $\frac{1}{2}\left(\sin\sin\left(6x\right)+\sin\sin2x\right)$

$\sin x\cos2x$

$\sin4x\cos x$

$\sin4x\cos2x$