Hi there.
I'm really confused with this question, it's about the unit circle.
Firstly I was asked to look up the values of (sorry I don't know how to put in the symbol for PI-3.14) 'cos(PI/3)' and 'sin(PI/3)' ok I got them.
Then I'm told to use the unit circle diagrams (diagrams?) to show the...
Question:
sketch a unit circle and indicate the range of positions where tanx < or = (-50).
I have no clue how to do this. THe previous problems in my homework were easy, such as: sketch a unit circle and mark two positions where sin = 1/3 or -1/3. I would just move up 1/3 on the y and go...
Let a0, . . . , an be points on the unit circle. Show that there is some other point p on the unit circle such that the product of the distances from p to ai for i=0,...,n at least 1. (Hint: Maximum Modulus Principle)
Maximum Modulus Principle: Let f be a nonconstant holomorphic function in...
Can anyone help me with this:
Let w be a complex number with the property w \leq 2.
Prove that w can be written as a sum of to complex numbers on the unit circle.
That is; prove that w can be written as w = z_1 + z_2, where |z_1| = 1 and |z_2| = 1.
I really can't come up with a...
In a unit circle, where t is a real number, why is that the following is true:
sin (t+2pi)=sin t
I really don't understand this, if I put any value into t and check on my calculator, sint and sin(t+2pi) give different answer, why is this?
Thanks for any help