2. (a) Solve the complex equation
(1+?)?3−[1+??(?3)]=0 and list all possible
solutions in Euler’s form with principal arguments.
(b) Express the complex number ?=(1−sin?+?cos?)20 in
Euler’s form.
solve each equation find all solutions in the interval 0 2π)
leave your answers in the exact form.
a) sin θ = cos(2θ)
b) sin (2θ) + cos(2θ) = √2/2
c) cos^3 + cos^2 - 3 cosθ - 3 = 0
d) sin 5x - sin 3x = cos 4x
e)sin(3x) + sin^2(x) + cos^2(x) = tan^2(x) - sec^2(x)
Please answer all parts of the problem, if possible.
Let X ~ Binomial (1, p) 0 <p<1 a. Show
explicitly that this family is “very regular,” that is, that
R0,R1,R2,R3,R4 hold.
R 0 - different parameter values have different functions.
R 1 - parameter space does not contain its own endpoints.
R 2. - the set of points x where f (x, p) is not zero and should
not depend on p.
R 3. One derivative can be found with respect...