Verify the identity.(1 + tan2 x)(1 - sin2x) = 1
What will be an ideal response?
(1 + tan2x)(1 - sin2x) = sec2x ? cos2x = 
? cos2x = 1
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Solve.A box of matches contains 210 matches. If a carton contains 5 boxes of matches, how many matches are in a carton?
A. 215 matches B. 42 matches C. 105 matches D. 1050 matches
Four partners (Alonzo, Brenda, Camille, and Donald) are dividing a parcel of land valued at $240,000 among themselves using the lone-divider method. Using a map, the divider divides the property into four parcels s1, s2, s3, and s4. The following table shows the value of the four parcels in the eyes of each partner, but some of the entries in the table are missing.
Which of the following is a fair division of the property?
A. Alonzo gets s1, Brenda gets s2, Camille gets s4, Donald gets s3 B. Alonzo gets s1, Brenda gets s2, Camille gets s3, Donald gets s4 C. Alonzo gets s2, Brenda gets s1, Camille gets s4, Donald gets s3 D. Alonzo gets s1, Brenda gets s4, Camille gets s2, Donald gets s3 E. none of these
Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = x 
A. f-1(x) = x 
B. f-1(x) = x3 - 2
C. Not one-to-one
D. f-1(x) = x2 + 2
Find the x- and y-intercepts. If no x-intercepts exist, state so.y = x2 + 12x + 36
A. (36, 0), (0, -6) B. (-6, 0), (0, 36) C. (36, 0), (0, 6) D. (6, 0), (0, 36)