Use a graphing calculator to determine which expression completes the identity.The expression  is to be the left hand side of an equation that is an identity. Which one of the following four expressions can be used as the right hand side of the equation to complete the identity?

A. cos ? sin ?
B. csc ? cot ?
C. tan2? - 1
D. sec ? cot ?


Answer: B

Mathematics

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Solve.Kimberly Ann takes out a loan on a fixer-upper house. She then spends $3794 in repairs and improvements. She sells the house for $88,210 but pays the new owners $1375 in closing costs. If the pay-off for the loan that she took out to buy the house is $73,824, what is her net? Is it profit or loss?

A. -$164,458, profit B. $9217, profit C. -$164,453, loss D. -$72,449, profit

Mathematics

Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, evaluate the given function. The point (x, ), on the circle , also lies on the terminal side of an angle ? in standard position. The point , on the circle , also lies on the terminal side of an angle ? in quadrant IV. g(? + ?)

A.
B.
C.
D.

Mathematics

Find the center, foci, and vertices of the ellipse.16(x + 1)2 + 9(y - 3)2 = 144

A. center at (3-1)
foci at (
3-1 ), (3-1 )
vertices at (
37), (3-1)
B. center at (03)
foci at (
03 ), (03 )
vertices at (
07), (0-1)
C. center at (-13)
foci at (
-13 ), (-13 )
vertices at (
-17), (-1-1)
D. center at (13)
foci at (
13 ), (13 )
vertices at (
17), (1-1)

Mathematics

Find the root form of the polynomial function f whose real roots and y-intercept are given on the graph.

A. f(x) = -2(x - 2)(x + 1) B. f(x) = (x - 2)(x + 1) C. f(x) = (x + 2)(x + 1) D. f(x) = (x + 2)(x - 1)

Mathematics