Prove the identity.cos4 x =  ( 3 + 4 cos 2x + cos 4x)

What will be an ideal response?


cos4 x = cos2 x cos2 x = 2 = (1 + cos 2x)(1+ 2 cos 2x + cos2 2x) =  =  ( 3 + 4 cos 2x + cos 4x).

Mathematics

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Evaluate the iterated integral.

A. 144 B. 72 C. 18 D. 36

Mathematics

Find the angles of the trignometric values in degrees. ? represents the unknown angle measure. tan ? = 0.5332

A. 28.07° B. 7.6° C. 7.59° D. 28.1°

Mathematics

Solve the problem.The table contains data that can be modeled by an exponential function of the form  Use regression to determine an exponential function f that models this data. Round the coefficients to the nearest hundredth.

A. f(x) = (1.63)(1.78)x B. f(x) = (1.32)(5.97)x C. f(x) = (5.97)(1.32)x D. f(x) = (1.78)(1.63)x

Mathematics

Find the domain of the function.f(x) = log6(x + 2)2

A. (-?, -2) or (-2, ?) B. (2, ?) C. (-2, ?) D. (-?, 0) or (0, ?)

Mathematics