offangel offangel

23-03-2021
Mathematics

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6sin^2theta = 7- 5costheta

please include all steps thank you ~ will give branliest !!

6sin2theta 7 5costhetaplease include all steps thank you will give branliest class=

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itzkittengurl itzkittengurl

23-03-2021

Answer:

6sin^2(x) = 7 - 5cos(x)

6(1 - cos^2(x)) = 7 - 5cos(x)

6 - 6cos^2(x) = 7 - 5cos(x)

6cos^2(x) + 5cos(x) -1 = 0

(6cos(x) - 1)(cos(x) + 1) = 0

cos(x) = 1/6

x = arccos(1/6)

x = 1.40334825 + 2k*pi, 4.87983706 + 2k*pi

cos(x) = -1

x = pi + 2k*pi

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