Verify the identity.sin (x + y) - sin (x - y) = 2 cos x sin y

What will be an ideal response?


sin (x + y) - sin (x - y) = sin x cos y + cos x sin y - sin x cos y + cos x sin y = 2 cos x sin y.

Mathematics

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Completely factor the polynomial or state that the polynomial is prime.x3 - 729

A. (x - 9)(x2 + 81) B. (x + 9)(x2 - 9x + 81) C. (x + 729)(x2 - 1) D. (x - 9)(x2 + 9x + 81)

Mathematics

Use the FOIL method to find the products.(x - 12y)(x + 9y)

A. x2 - 6xy - 108y2 B. x2 - 3xy - 3y2 C. x - 3xy - 108y D. x2 - 3xy - 108y2

Mathematics

Write the fraction as a decimal. Round to the nearest thousandth if necessary.

A. 0.038 B. 0.375 C. 3.75 D. 2.667

Mathematics

For the pair of functions, find the indicated composition.f(x) = , g(x) = 5x4Find (g ? f)(x).

A.
B.
C.
D.

Mathematics