I've always wanted to see this...

Thursday, April 02, 2009

Question : -

Note : Blogger can't publish symbols. wtf

Show that if z = exp (i (theta)), then

(i) cos (theta)= (1/2)

[z + (1/z)]

(ii) sin (theta)= (1/2i)[z - (1/z)]

and find an expression for

8 cos³(theta)sin(theta) in terms of sin 4(theta) and sin 2(theta)

Answer: -

Part I

Part II

Part III

Part IV

Part V

Altogether...

It took two white boards just to solve that question, just like in the movies.....the best part? I fitted it into half a page.

Dorky as it is, I LOVE MATHS!!!!
Crapped by Jonathan at 6:51 PM

adapted from jonathan http://bigbadmrhahn.blogspot.com/