Establish the identity.sin(4x) = (4 sin x cos x)(2 cos2 x - 1)

What will be an ideal response?


sin(4x) = 2 sin(2x) cos(2x) = (4 sin x cos x)(2 cos2 x - 1).

Mathematics

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Solve the problem.Find the centroid of the region in the first quadrant bounded by the curve y = 3 cos x and the axes.

A.  =  = 
B.  =  = 
C.  =  = 
D.  =  = 

Mathematics

Solve the problem.On a Touch-Tone phone, each button produces a unique sound. The sound produced is the sum of two tones, given by y = sin (2?lt) and y = sin (2?ht)where l and h are the low and high frequencies (cycles per second) shown on the illustration.The sound produced is thus given by y = sin (2?lt) + sin (2?ht)Write the sound emitted by touching the 5 key as a product of sines and cosines.

A. y = 2 sin(566?t) cos(2106?t) B. y = 2 sin(2106?t) cos(566?t) C. y = 2 sin(707?t) cos(2247?t) D. y = 2 sin(2247?t) cos(707?t)

Mathematics

Use Cramer's rule to solve the linear system.

A. {(9, 7, 2)} B. {(10, 5, 2)} C. {(9, -7, -2)} D. {(7, 2, 7)}

Mathematics

The function Y2 is defined as Y1 + k for some real number k. Based upon the given information about Y1 and Y2, find k.  

A. 5 B. 2 C. 1 D. 4

Mathematics