3sinx=-cosx

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Solution for 3sinx=-cosx equation: 


Simplifying
3sinx = -1cosx

Solving
3insx = -1cosx

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Divide each side by '3nsx'.
i = -0.3333333333cn-1o

Simplifying
i = -0.3333333333cn-1o

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