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Find all exact solutions on the interval [o, 2m). Look for opportunities to use

ID: 2920406 • Letter: F

Question

Find all exact solutions on the interval [o, 2m). Look for opportunities to use trigonometric iden enter DNE.) cos3(t) - cos(t) Note that a common factor can be found if the equation is rewritten so that one side is equal t Additional Materials eBook ?Solving Trigonometric Equations ll Solving Trigonometric Equations lll l Solving Trigonometric Equations Vi Submit Answer Save ProgressPractice Another Version Answers OSCAT1 95.309 cos200(1 - cos?(x) + sin2(x(1- cos2x)-o 10. 0/1 points I Previous Find all exact solutions to the equation on the interval to, 2m). (Enter your answers as a comn eall the Pythaggrean trigonometric identity How can the left-hand side of the equation be

Explanation / Answer

cos^3 t = cos t

cos^3 t - cos t = 0

cos t ( cos^2 t -1 ) = 0

cos t = 0

cos^2 t = 1

cos t = +- 1

t = 0 , 3pi/2 , pi , pi/2

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