Use a half-angle identity to find an exact value for the following, given the information about x. Find tan , given that sin x = -  and x terminates in 180° < x < 270°.

A.
B. - 7
C. - 
D. - 


Answer: C

Mathematics

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Provide an appropriate response.Years ago, people used fountain pens. The ink was very "wet" and so a blotter was used to absorb "wet" ink left on the surface of the paper. Suppose you have a single sheet of graph paper and that you have just used your fountain pen to graph the one-to-one function f. Explain how, if the ink is "wet", you could now obtain the graph of f-1 using only your sheet of graph paper. (Hint: Fold the sheet of graph paper.)

What will be an ideal response?

Mathematics

Complete the following for the given f(x). (i) Find f(x + h). (ii) Find the difference quotient of f and simplify.f(x) = 2x - 11

A. (i) 2x + h - 11 (ii) 2 B. (i) 2x + 2h - 11 (ii) -2 C. (i) 2x + 2h - 11 (ii) 2 D. (i) 2x + 2h - 11 (ii) 11

Mathematics

Multiply the polynomials using the special product formulas. Express the answer as a single polynomial in standard form.(5x + 2)3

A. 25x2 + 20x + 4 B. 125x3 + 150x2 + 150x + 8 C. 125x3 + 150x2 + 60x + 8 D. 25x6 + 10x3 + 64

Mathematics

Find the value of the determinant.

A. 130 B. 80 C. -12 D. -90

Mathematics