The equation simplifies to:6 / sin(11pi/4) * cos(-9pi/4)
sin(11pi/4) = sin(pi + 3pi/4) = -sin(3pi/4) = -sqrt(2)/2cos(-9pi/4) = cos(pi - pi/4) = -cos(pi/4) = -sqrt(2)/2
Therefore:6 / sin(11pi/4) cos(-9pi/4) = 6 / (-sqrt(2)/2 -sqrt(2)/2) = 6 / (2/2) = 6/1 = 6
The equation simplifies to:
6 / sin(11pi/4) * cos(-9pi/4)
sin(11pi/4) = sin(pi + 3pi/4) = -sin(3pi/4) = -sqrt(2)/2
cos(-9pi/4) = cos(pi - pi/4) = -cos(pi/4) = -sqrt(2)/2
Therefore:
6 / sin(11pi/4) cos(-9pi/4) = 6 / (-sqrt(2)/2 -sqrt(2)/2) = 6 / (2/2) = 6/1 = 6