Verify that each equation is an identity.(1 - cos x)(1 + cos x) = sin2x

What will be an ideal response?


(1 - cos x)(1 + cos x) = 1 - cos2x = sin2x

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = tan

A. y = tan u; u = ? -  = sec2
B. y = tan u; u = ? -  =  sec tan
C. y = tan u; u = ? -  =  sec2
D. y = tan u; u = ? -  = sec2

Mathematics

Multiply.436 ? 9,246

A. 4,031,356 B. 4,041,256 C. 4,030,256 D. 4,031,256

Mathematics

Find the zeros of the function.f(x) = x2 - 18x + 81 

A. -9 B. 9 C. 0, 9 D. -9, 9

Mathematics

Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively.  A town experiences 11.29 hours of sunlight at the summer solstice and 7.94 hours of sunlight at the winter solstice. Find a sinusoidal function  that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)

A. y = 11.29 sin  + 9.615
B. y = 1.675 sin  + 9.615
C. y = 1.675 sin  + 9.615
D. y = 11.29 sin  + 7.94

Mathematics