Question #10263

1 Answer
Jim G.
Dec 14, 2017

#-2sinxsin(pi/6)#

Explanation:

#"using the "color(blue)"difference to product formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(cosC-cosD=-2sin((C+D)/2)sin((C-D)/2))color(white)(2/2)|)))#

#"here "C=x+pi/6" and "D=x-pi/6#

#rArrcos(x+pi/6)-cos(x-pi/6)#

#=-2sin((x+pi/6+x-pi/6)/2)sin((x+pi/6-x+pi/6)/2)#

#=-2sinxsin(pi/6)#

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