Verify the identity.(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos 2 x

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(sin x)(tan x cos x + cot x cos x) = sin x  = sin 2 x - cos 2 x  = 1 - 2 cos 2 x.

Mathematics

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If AB ? BC, DC ? BC, and AB ? CD in the figure, prove that ?BAC ? ?CBD.

Mathematics

Solve the problem.If two sound sources at the same volume are equidistant from a microphone, the pressure on the microphone is given by p = a cos ?1t + a cos ?2twhere a, ?1, ?2 are constants and t is time. Write p as a product of cosine functions.

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Mathematics

Determine if the number is divisible by 2, 3, 5, or none of these.54

A. 3 B. 2, 3 C. 2 D. None

Mathematics

Use the discriminant to determine whether the graph of the equation is a parabola, ellipse, or a hyperbola. :

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Mathematics