Verify the identity.sin x(sin x + sin 5x) = cos 2x (cos 2x - cos 4x)

What will be an ideal response?


sin x(sin x + sin 5x) = sin x(2 sin 3x cos 2x) = 2 cos 2x sin x sin 3x
 = cos 2x (cos 2x - cos 4x)

Mathematics

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Find the limit.

A. 1 B. ? C. 0 D. No limit

Mathematics

Solve the problem. Round unit depreciation to nearest cent when making the schedule, and round final results to the nearest cent. A construction company purchased a piece of equipment for $1710. The expected life is 7000 hours, after which it will have a salvage value of $280. Find the amount of depreciation for the first year if the piece of equipment was used for 1600 hours. Use the units-of-production method of depreciation.

A. $320.00 B. $186.67 C. $228.00 D. $390.86

Mathematics

Determine if the infinite geometric series converges or diverges. If the series converges, find its sum.-6 - 2 -  - . . .

A. converges, - 9
B. converges, 
C. converges, 3
D. diverges

Mathematics

Convert the rectangular coordinates of the point to polar coordinates (r, ?) with r > 0 and 0 ? ? < 2?.(-3, 0)

A.
B. (3, 0)
C.
D. (3, ?)

Mathematics