Question

Prove that: $2sin^{2} \frac{3\pi }{4} +2cos^{2} \frac{\pi }{4} +2sce^{2} \frac{\pi }{3} =10$

Answer 1

sin(pi - theta)= sin theta
sin(3pi /4)= sin( pi - pi/4)=sin(pi/4)=1/root2.
sin^2(3pi/4)=1/2
cos^2(pi/4)=1/2
sec^2(pi/3)=4
find the value