Marc26
Member
- Joined
- Feb 20, 2012
- Messages
- 244
- Gender
- Male
- HSC
- 2013
I got stuck on these:
Question 2:
a) The origin O and the points A, B, C representing complex numbers z, 1/z, z+(1/z) respectively are joined to form a quadrilateral. Write down the condition or conditions for z so that OABC will be:
i) a rhombus
ii) a square
b) A, B, C are the angles of a triangle. Show that:
(CosA + i SinA)(CosB + i SinB) - (CosC + i SinC) = 0
Question 2:
a) The origin O and the points A, B, C representing complex numbers z, 1/z, z+(1/z) respectively are joined to form a quadrilateral. Write down the condition or conditions for z so that OABC will be:
i) a rhombus
ii) a square
b) A, B, C are the angles of a triangle. Show that:
(CosA + i SinA)(CosB + i SinB) - (CosC + i SinC) = 0