Verify that the equation is an 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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Write the number as indicated.The world-wide production of cereal grains has reached about one billion, seven hundred  million, four hundred three thousand, three hundred tons. Write the number using digits.

A. 1,761,430,300 B. 1,761,403,300 C. 1,761,403,030 D. 1,761,343,300

Mathematics

Find the distance between the points, and find the midpoint of the line segment joining them.(6, 3) and (3, 9)

A. 3
B. 3; (912)
C. 3; (3-6)
D. 3

Mathematics

Provide an appropriate response.The points (0, -2) and (-4, -1) lie on a line. Find its equation.

A. y = x - 2
B. y = - x - 2
C. y = - x + 2
D. y = x + 2

Mathematics

Solve the problem.A comet has an orbit that is in the shape of an ellipse with the Sun at one of the foci. The equation is approximately  where x and y are in astronomical units (an astronomical unit is 93,000,000 miles). Sketch the graph of the comet.

A.

B.

C.

D.

Mathematics