Question
Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.
18sin^4x
18sin^4x
Answers
Answered by
GPT 3.5
The power-reducing formula for sin^4x is:
sin^4x = (1/2)(3 - 4cos(2x) + cos(4x))
Therefore, we can rewrite 18sin^4x as:
18sin^4x = 18 * (1/2)(3 - 4cos(2x) + cos(4x))
18sin^4x = 9(3 - 4cos(2x) + cos(4x))
sin^4x = (1/2)(3 - 4cos(2x) + cos(4x))
Therefore, we can rewrite 18sin^4x as:
18sin^4x = 18 * (1/2)(3 - 4cos(2x) + cos(4x))
18sin^4x = 9(3 - 4cos(2x) + cos(4x))
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