How could I turn 2sin5xcos3x into a sum of trig functions?
2 Answers
Aug 6, 2018
Explanation:
We know
Substitute ,
Aug 6, 2018
Explanation:
"using the "color(blue)"product to sum formula"using the product to sum formula
•color(white)(x)2sinxcosy=sin(x+y)+sin(x-y)∙x2sinxcosy=sin(x+y)+sin(x−y)
"here "x=5x" and "y=3xhere x=5x and y=3x
2sin5xcos3x2sin5xcos3x
=sin(5x+3x)+sin(5x-3x)=sin8x+sin2x=sin(5x+3x)+sin(5x−3x)=sin8x+sin2x