Question

show that sin(t)+cos(t)i=cis(pi/2-t). how do i do this? related to complementary angles of cos and sine ?

Answer 1

\[\sin (\frac{\pi}{2}-t)=\cos(t)\]

Answer 2

\[\cos (\frac{\pi}{2}-t)=\sin(t)\]

Answer 3

these are the only substitutions that you will need.