Prove that sin(20°)cos(40°)+cos(20°)sin(40°)=√3/2 ?

1 Answer
Jun 3, 2018

"see explanation"

Explanation:

"using the "color(blue)"addition formula for sine"

•color(white)(x)sin(x+-y)=sinxcosy+-cosxsiny

"thus the expression on the left side represents"

sin(20+40)^@=sin60^@=sqrt3/2