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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Use logarithmic differentiation to find the derivative of y.y = 

A.
B.
C. (lnx - ln(x + 7))
D.

Mathematics

Solve and check. Note that the equation could be an identity or a contradiction.12n + 2(n - 3) = 11 + 5(2n - 1)

A.
B. 6
C.
D. 3

Mathematics

Solve the problem.On a sunny day, a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is  long and the shadow is 40 meters, how tall is the flag pole?

A. 30 m B. 90 m C. 64 m D. 100 m

Mathematics

Solve the inequality. Graph the solution set and write the solution set in set-builder notation.(x - 9)(x + 3) > 0

A. {x 

B. {x 
 
C. {x 
 
D. {x 

Mathematics