Verify the identity.cot2 x + csc2 x = 2 csc2 x - 1

What will be an ideal response?


cot2 x + csc2 x = csc2 x - 1 + csc2 x = 2 csc2 x - 1.

Mathematics

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Solve the problem.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Determine the winner using the plurality with elimination method and if the winner received a majority of first place votes.

A. Jones; Yes B. Smith; No C. Smith, Yes D. Jones; No

Mathematics

Give two parametric representations for the equation of the parabola.y = (x + 3)2 - 10

A. x = t, y = (t - 3)2 - 10 for t in (-?, ?); x = t + 3, y = t2 - 10 for t in (-?, ?) B. x = t, y = (t - 3)2 + 10 for t in (-?, ?); x = t - 3, y = t2 - 10 for t in (-?, ?) C. x = t, y = (t + 3)2 - 10 for t in (-?, ?); x = t - 3, y = t2 - 10 for t in (-?, ?) D. x = t, y = (t + 3)2 - 10 for t in (-?, ?); x = t + 3, y = t2 - 10 for t in (-?, ?)

Mathematics

Use the order of operations to simplify the expression.

A. - 14 B. undefined C. - 4 D. 14

Mathematics

If A =  and B = , does AB = BA? Explain.

What will be an ideal response?

Mathematics