I need to solve for theta
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800=2000tan(theta)-[19.6/cos^2^(theta)]

800 = 2000tan(t)-[19.6/cos^2^(t)]

using 1 + tan^2 = sec^2,

800 = 2000u - [19.6(1+ u^2)] , where u = tan(t)

800 = 2000u - 19.6 - 19.6u^2

19.6u^2 - 2000u + 819.6 = 0.

Using the quadratic formula (or Maple/Mathematica/Matlab etc.) to solve this, we get

u = 101.6293572u = 0.4114591264

and u = tan(t),

therefore, t = 1.560957, t = 0.390346 radians

by Level 11 User (81.5k points)

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