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Find All Solutions to the Equation cos⁡2x=0.8\cos ^ { 2 } x = 0.8

Question 235

Multiple Choice

Find all solutions to the equation.
- cos⁡2x=0.8\cos ^ { 2 } x = 0.8
(Use a calculator. Express your answer in radians as a decimal rounded to the nearest thousandth.)


A) {0.464+2nπ,5.819+2nπ∣n=0,±1,±2,….}\{ 0.464 + 2 \mathrm { n } \pi , 5.819 + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \}
B) {±0.644+nπ∣n=0,±1,±2,….}\{ \pm 0.644 + \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \}
C) {0.644+2nπ,5.639+2nπ∣n=0,±1,±2,….}\{ 0.644 + 2 \mathrm { n } \pi , 5.639 + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \}
D) {±0.464+nπ∣n=0,±1,±2,…}\{ \pm 0.464 + \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \}

Correct Answer:

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