How do you use product to sum formulas to write the product #cos(pi/6)sin(pi/6)# as a sum or difference?
1 Answer
Apr 6, 2017
Explanation:
Using the
#color(blue)"product to sum identity"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(cosAsinB=1/2[sin(A+B)-sin(A-B)])color(white)(2/2)|))#
#"here " A=B=pi/6#
#=1/2[sin(pi/3)-sin(0)]#
#• sin(pi/3)=sqrt3/2" and " sin(0)=0#
#rArr1/2[sqrt3/2-0]#
#=sqrt3/4#
