Establish the identity.(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos 2 x
What will be an ideal response?
(sin x)(tan x cos x + cot x cos x) = sin x 
= sin 2 x - cos 2 x 
= 1 - 2 cos 2 x.
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Let A = {1, 3, 5, 7}B = {5, 6, 7, 8}C = {5, 8}D = {2, 5, 8}U = {1, 2, 3, 4, 5, 6, 7, 8}.Determine whether the statement is true or false.D ? B
A. False; the sets must have the same number of elements. B. False; the elements are the same. C. True D. False; the elements are not the same.
According to the 2000 U.S. Census, Philadelphia, Pennsylvania, has a population of 1,517,550, of whom 812,443 are male. If 500 citizens of Philadelphia are selected at random, what is the probability that at least 250 of them will be male? (U.S. Bureau of the Census.)
What will be an ideal response?
Factor out the largest possible common factor.21y3 - 6y2 + 12y
A. 3y(7y3 - 2y2 + 4y) B. 3(7y3 - 2y2 + 4y) C. y(21y2 - 6y + 12) D. 3y(7y2 - 2y + 4)
Find the remaining zeros of a polynomial with real coefficients and having the specified degree and zeros.Degree 4; zeros: 8 - 5i, 5i
A. 8 + 5i, 5 - i B. -8 + 5i, -5i C. 8 + 5i, -5i D. -8 - 5i, -5i