armene9c1reagae armene9c1reagae

20-07-2016
Mathematics

Answered

Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.

cos^3 x

Verified Answer :

meerkat18 meerkat18

20-07-2016

we are asked to express cos^ 3 x in terms of powers of trigonometric functions not greater than 1

cos ^ 3 x is equal to cos x cos^2 x.
cos^2 x = 1 - sin^2 x.
sin^2 x = (1 - cos 2x) /2

the answer is cos ^ 3 x = cos x (1 - (1 - cos 2x) /2 )

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