How do you find the value of #sin (pi/3-pi/4)#?
1 Answer
Mar 2, 2016
Explanation:
Using appropriate
# color(blue)" Addition formula " #
#• sin(A ± B ) = sinAcosB ± cosAsinB#
#sin(pi/3 - pi/4 ) = sin(pi/3)cos(pi/4) - cos(pi/3)sin(pi/4) # and using
#color(red) " exact values "#
# = sqrt3/2 . 1/sqrt2 - 1/2 . 1/sqrt2 # common denominator of
#2sqrt2 " to obtain "#
#sin(pi/3 - pi/4 ) = (sqrt3 - 1)/(2sqrt2)#
