Solve the problem.Graph y = sin  and y = csc  together for -2? ? x ? 2?. Comment on the behavior of csc  in relation to the signs and values of sin .

What will be an ideal response?


When y = sin  is at a maximum point, which is at x = (4n + 1)? for all integers n, y = csc  is at a minimum point. Similarly, when y = sin  is at minimum point, , which is at x = (4n - 1)? for all integers n, y = csc  is at a maximum point.

Mathematics

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Identify the correspondence.The two triangles shown below are congruent. List the vertices corresponding to A, B ,and C in order. 

A. X, Y and Z B. Y,X and Z C. Z, X and Y D. Y, Z and X

Mathematics

Solve the problem.If p > 1 and q > 1, what can be said about the convergence of ?

A. May converge or diverge B. Always converges C. Always diverges

Mathematics

Add or subtract as indicated. Express the answer as a single polynomial in standard form.(8x6 - 7x5 + 19) - (4x6 - 15x5 - 10)

A. 4x6 + 8x5 + 9 B. 4x6 + 8x5 + 29 C. 4x6 - 3x5 + 9 D. 41x11

Mathematics

Solve the problem. Round to an appropriate number of significant digits.A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 840 tickets. Also, they have sold 4 times as many children's tickets as adult tickets. How many children's tickets have they sold?

A. 672 B. 49 C. 668 D. 679

Mathematics