employing t for theta: tan t (2sin t - a million) = 0 so the two tan t = 0 (while t = n*pi, the place n is an integer) or 2sin t - a million = 0 ==> sin t = a million/2, meaning t = pi/6 + 2npi or t = 5pi/6 + 2npi so the final ideas are: t = n*pi t = pi/6 + 2npi t = 5pi/6 + 2npi the particular ideas in the era [0,2pi) are: t = 0, pi/6, 5pi/6, and pi
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Verified answer
2tan²Θ + 6 = 0
tan²Θ + 3 = 0
tan²Θ = - 3
tan Θ = sqrt(-3)
Not possible for real angles
employing t for theta: tan t (2sin t - a million) = 0 so the two tan t = 0 (while t = n*pi, the place n is an integer) or 2sin t - a million = 0 ==> sin t = a million/2, meaning t = pi/6 + 2npi or t = 5pi/6 + 2npi so the final ideas are: t = n*pi t = pi/6 + 2npi t = 5pi/6 + 2npi the particular ideas in the era [0,2pi) are: t = 0, pi/6, 5pi/6, and pi
tan^2(theta) = -3
not possible for any real value of theta