Content
Using compound angle identities, show that
(i) sin(125π)=4√6+√2
(ii) cos(125π)=4√6−√2
Prove that sinθ−icosθ≡cisθ⋅cis(−2π).
The complex number z satisfies the equation ze5πi/6=41+√3−4√3−1i.
Using parts (a) and (b), find the modulus and argument of z.
Ask Plex AI about this problem
Get hints, ask questions, and work through this problem step by step