Question

sin² pi/8 + sin² 3pi/8 + sin² 5pi/8 + sin² 7pi/8 = 2​

Answer 1

$\huge\color{Black}\boxed{\colorbox{yellow}{❀Answer❀}}$

sin²pi/8+sin²3pi/8+sin²5pi/8+sin²7pi/8

=sin²pi8+sin²3pi/8+sin²(pi/2-pi/8)+sin²(pi/2-3pi/8)

=sin²pi/8+sin²3pi/8+cos²pi/8+cos²3pi/8

=1+1

=2