f(t)=-100sin(50t-20)

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Solution for f(t)=-100sin(50t-20) equation:


Simplifying
f(t) = -100sin(50t + -20)

Multiply f * t
ft = -100sin(50t + -20)

Reorder the terms:
ft = -100ins(-20 + 50t)
ft = (-20 * -100ins + 50t * -100ins)
ft = (2000ins + -5000inst)

Solving
ft = 2000ins + -5000inst

Solving for variable 'f'.

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

Divide each side by 't'.
f = 2000inst-1 + -5000ins

Simplifying
f = 2000inst-1 + -5000ins

Reorder the terms:
f = -5000ins + 2000inst-1

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