Solving: 3cos(t)-sin(t)cos(t)=0

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The equation 3cos(t) - sin(t)cos(t) = 0 simplifies to cos(t)(3 - sin(t)) = 0. This leads to two cases: cos(t) = 0 and sin(t) = 3. Since sin(t) = 3 is undefined, the only valid solution comes from cos(t) = 0. The next step involves determining the values of t for which cos(t) equals zero. The discussion emphasizes that only cos(t) = 0 provides valid solutions for the equation.
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Homework Statement


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Homework Equations

The Attempt at a Solution


cos(t) (3-sin(t)) = 0

but I get cos(t) =0 and sin(t)=3

but I thought sin(t) =3 is undefined?
 
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Then the factor that will give you the solutions is just ##\cos t = 0##.
 
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blue_leaf77 said:
Then the factor that will give you the solutions is just ##\cos t = 0##.
Then the next step would be: What values of t make cos(t) equal zero?
 
IntegralDerivative said:
I get cos(t) =0 and sin(t)=3
No, you get cos(t) =0 or sin(t)=3.
 
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