Algebraic sequences

Algebra Level 3

We know \[\theta_4=270\] We are given algebraic sequence \[\theta_1, \theta_2, \theta_3, \theta_4\] We are given algebraic sequence \[\cos\theta_1, 2\sin\theta_2, -3\cos\theta_3, 4\sin\theta_4\] What is the sum of the second algebraic sequence?

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