An equation is given. (Enter your answers as a comma-separated list. Let k be an

Question

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 cos(28) + 1-0 (a) Find all solutions of the equation 2? (b) Find the solutions in the interval [0, 21). Need Help ? ? 5 021 An equation is given. (Enter your answers as a comma separated list. Let k be any integer Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION) v3 tan(36)+10 O Type here to search

Explanation / Answer

2cos(2 theta) + 1=0

2cos (2 theta) = -1

cos(2 theta)=-1/2

2theta = cos-1(-1/2)

theta = (1/2) cos-1(-1/2)

theta = pi/3 + pi k , 2pi/3 + pi k

b. theta = pi/3 , 2 pi/3 , 4pi/3, 5pi/3

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