Simplify.

(a) tan x
(b) sin 2x
(c) -cos x
(d) cos x
(e) -cos² x


(c) -cos x

Mathematics

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The argument given or described involves some kind of fallacy. Identify the fallacy.You should brush your teeth every day because brushing your teeth is very important.

A. Hasty generalization B. Diversion (red herring) C. False cause D. Circular reasoning

Mathematics

Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible.Crosses the x-axis at -3, 0, and 1; lies above the x-axis between -3 and 0; lies below the x-axis between 0 and 1.

A. f(x) = - x3+ 2x2 + 3x B. f(x) = -x3 - 2x2 + 3x C. f(x) = x3+ 2x2 - 3x D. f(x) = x3- 2x2 - 3x

Mathematics

Solve the problem.Find the foci and asymptotes of the following hyperbola:16x2 - y2 = 16

A. Foci: (4, 0), (-4, 0); Asymptotes: y = x, y = - x
B. Foci: (, 0), (-, 0); Asymptotes: y = x, y = - x
C. Foci: (0, ), (0, -); Asymptotes: y = 4x, y = -4x
D. Foci: (, 0), (-, 0); Asymptotes: y = 4x, y = -4x

Mathematics

State the period of the function and graph.cos 

A. Period 2?

B. Period 2?

C. Period 2?

D. Period 2?
 

Mathematics