
Harris S.
asked 08/03/22Simplifying Trig Functions
Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine
cos4 x
1 Expert Answer

Benjamin V. answered 08/03/22
Master's in Applied Statistics -- Collegiate Tutoring Experience
cos4 x =
(cos2 x)2 =
((1 + cos(2x))/2)^2 =
(1 + 2cos(2x) + cos2(2x)) / 4 =
(1 + 2cos(2x) + ((1 + cos(4x)) / 2) / 4 =
(2 + 4cos(2x) + 1 + cos(4x)) / 8 =
(cos(4x) + 4cos(2x) + 3) / 8
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Mark M.
You would have experienced a lot if you had taken my start and worked it through.08/03/22