How Do You Solve the Equation 20sin(t)cos(t) = -4cos(t) for t?

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SUMMARY

The equation 20sin(t)cos(t) = -4cos(t) can be solved by first moving all terms involving cos(t) to one side. This leads to the equation 20sin(t)cos(t) + 4cos(t) = 0. Factoring out cos(t) results in cos(t)(20sin(t) + 4) = 0, which provides two solutions: cos(t) = 0 and 20sin(t) + 4 = 0. The solutions for t can then be derived from these factors.

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Homework Statement


20sin(t)cos(t)=-4cos(t)



Homework Equations





The Attempt at a Solution



I added the cos to the other side but I am kind of stuck what to do. My instructor never really went over this well enough. Ugh..
 
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nickb145 said:

Homework Statement


20sin(t)cos(t)=-4cos(t)



Homework Equations





The Attempt at a Solution



I added the cos to the other side but I am kind of stuck what to do. My instructor never really went over this well enough. Ugh..

I don't see any question. What is the problem? Solving for ##t##? If so, after you do that first step, factor it.
 

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