Verify that each equation is an identity.sin3(3x) = (sin(3x))(1 - cos(6x))

What will be an ideal response?


sin3(3x) = (sin2(3x))(sin(3x)) = (sin(3x)) = (sin(3x))(1 - cos(6x)).

Mathematics

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Use the table to determine the probability. Round your answer to three decimal places if necessary.The table gives the number of degrees earned in a certain university in the 2007-2008 academic year.If a student receiving a degree is randomly selected, what is the probability that the person selected is female?

A. 0.527 B. 0.577 C. 0.423 D. 0.373

Mathematics

Solve the equation by the quadratic formula.x2 + 9 = 0

A. ±3 B. 3 C. 3i D. ±3i

Mathematics

Evaluate the function.Given f(x) = 2x2 - 3x - 3, find f(-4).

A. 41 B. 1 C. 44 D. 26

Mathematics

Refer to the double-bar graph below which shows the number of male and female athletes at a university over a four-year period. Solve the problem.What is the only year in which the number of female athletes declined from its previous value?

A. 2003 B. 2004 C. 2005 D. 2002

Mathematics