Back again with Trig tonight, if I get 80% on these finals it'll be a miracle.
a. z = -1- i
i) Find z2 in the form a + bi 2 marks
ii) By first finding the modulus and argument, express z = -1- i in the polar form r (cos + i sin ) 2 marks
iii) Express z2 in the polar form 2 marks
iv) Using De Moivre theorem, calculate z2 and check your result with the last question 2 marks

b. Sketch the unit circle and use it to find:

i) Sin 120o 2 marks
ii) Cos 225o 2 marks

Question

Back again with Trig tonight, if I get 80% on these finals it'll be a miracle.
a.	z = -1- i 
i)	Find z2 in the form a + bi					2 marks
ii)	By first finding the modulus and argument, express z = -1- i  in the polar form r (cos  + i sin  )				2 marks
iii)	Express z2 in the polar form				2 marks
iv)	Using De Moivre theorem, calculate z2 and check your result with the last question					2 marks
							 


b.	Sketch the unit circle and use it to find:

i)  Sin 120o 							2 marks										 
ii)  Cos 225o							2 marks