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

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To solve the equation 20sin(t)cos(t) = -4cos(t), the first step involves moving the -4cos(t) to the left side, resulting in 20sin(t)cos(t) + 4cos(t) = 0. This can be factored as cos(t)(20sin(t) + 4) = 0. The solutions arise from setting each factor to zero, leading to cos(t) = 0 or 20sin(t) + 4 = 0. The discussion highlights confusion about the initial steps, emphasizing the need for factoring to proceed with finding t. Understanding these steps is crucial for solving the equation effectively.
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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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