Establish 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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Multiply the polynomials.(x - 11)(x2 + 3x - 9)

A. x3 + 14x2 + 42x + 99 B. x3 - 8x2 - 42x + 99 C. x3 - 8x2 - 24x - 99 D. x3 + 14x2 + 24x - 99

Mathematics

A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the volume of paint needed. Assume that x and y are measured in meters.The spherical zone generated when the upper portion of the circle x2 + y2 = 121 on the interval  is revolved about the x-axis.

A. ? m3
B. 594? m3
C.  m3
D. ? m3

Mathematics

Give the appropriate form of the partial fraction decomposition.

A.  +  
B.  +  
C.  +  
D.  +  

Mathematics

Evaluate.41

A. 1 B. 4 C. 0 D. Not defined.

Mathematics