Question

How do I prove that 4sin(62.5˚+x/2)*cos(27.5˚-x/2) is the same as 4sin^2(x/2+62.5˚)?

Answer 1

`4sin(62.5˚+x/2)*cos(27.5˚-x/2)`

`=4sin(62.5˚+x/2)*sin(90^@-(27.5˚-x/2))`

`=4sin(62.5˚+x/2)*sin(62.5˚+x/2))`

`=4sin^2(62.5˚+x/2)`