Explain why the complex numbers z1 = 1 − √3i, z2 = 2 − 2√3i, and z3 = 5 − 5√3i can al have the same
argument. draw a diagram to suport your answer what is the modulus of each of the complex numbers z1, z2, and z3 given in problem 1 above?
3. write the complex numbers from exercise 1 in polar form.
4. explain why 1 − √3i and 2(cos(300°) + i sin(300°)) represent the same number.
5. julien stated that a given modulus and a given argument uniquely determine a complex number. confirm or refute
julien’s reasoning

What is the area of a pizza with a radius of 40 cm leave the answer in terms of π to find your exact answer 40π cm² 1600π cm² 800π cm² 80π cm² π=pi

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

Ahovercraft takes off from a platform. its height (in meters), xx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=−2x 2 +20x+48 what is the maximum height that the hovercraft will reach?