Express each of the following as the product of sines and cosines: contexto.140 3 years ago By using the formula,
![\[cos\text{ }12x\text{ }\text{ }cos\text{ }4x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c14919a911583f8a0575cc52a76dc370_l3.png "Rendered by QuickLaTeX.com")
![\[cos\text{ }A\text{ }\text{ }cos\text{ }B\text{ }=\text{ }-2\text{ }sin\text{ }\left( A+B \right)/2\text{ }sin\text{ }\left( A-B \right)/2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-571a075115e3d58835a0e7b7f4bac49f_l3.png "Rendered by QuickLaTeX.com")
![\[cos\text{ }12x\text{ }\text{ }cos\text{ }4x\text{ }=\text{ }-2\text{ }sin\text{ }\left( 12x\text{ }+\text{ }4x \right)/2\text{ }sin\text{ }\left( 12x\text{ }\text{ }4x \right)/2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-506dcbee44958ada124812afbd198c01_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }-2\text{ }sin\text{ }16x/2\text{ }sin\text{ }8x/2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-584ffa712aa6f9c3306d9157dc568836_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }-2\text{ }sin\text{ }8x\text{ }sin\text{ }4x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4a0587d5933930fda29b0d226436b197_l3.png "Rendered by QuickLaTeX.com")
