Establish 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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Find the extreme values of the function and where they occur.y = 

A. Absolute maximum is 7 at x = 2. B. Absolute maximum is 7 at x = -2. C. Absolute minimum is 7 at x = 0. D. Absolute minimum is 0 at x = 1.

Mathematics

Plot the point (r, ?).(-2, 315°)

A.

B.

C.

D.

Mathematics

Estimate an answer to the problem.An advertisement states that television sets are on sale at B&G Electronics. The sale prices are:  set, $147.99;  set, $201.95;  set, $231.99; 27-inch set, $299.97;  set, $502.97. Estimate the approximate number of 

style="vertical-align: -4.0px;" /> sets that can be bought for $2729. A. 12 B. 19 C. 9 D. 5

Mathematics

Begin by drawing a rough sketch to determine the number of real solutions for the equation y1 = y2. Then use an analytic method to confirm your answer. Give the solution set and any extraneous values that may occur.y1 = y2 = x + 4

A.

No real solutions; ?; no extraneous values
B.

One real solution;  is extraneous.
C.

One real solution; {1}; no extraneous values
D.

Two real solutions; ; no extraneous values

Mathematics