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

  • Thread starter IntegralDerivative
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In summary, the equation "3cos(t)-sin(t)cos(t)=0" is used to solve for the value of t in trigonometric functions. To solve this equation, you can use trigonometric identities and algebraic manipulation to simplify the equation and find the value of t that satisfies the equation. The steps to solve this equation are: 1. Use trigonometric identities to simplify the equation. 2. Use algebraic manipulation to isolate the variable t. 3. Solve for t using algebraic methods such as factoring or the quadratic formula. 4. Check the solution by plugging it back into the original equation. You can also use a calculator to solve this equation, but it is important to understand
  • #1
IntegralDerivative
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3

Homework Statement


upload_2017-5-16_1-5-4.png


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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  • #2
Then the factor that will give you the solutions is just ##\cos t = 0##.
 
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Likes scottdave and IntegralDerivative
  • #3
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?
 
  • #4
IntegralDerivative said:
I get cos(t) =0 and sin(t)=3
No, you get cos(t) =0 or sin(t)=3.
 

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

1. What is the equation "3cos(t)-sin(t)cos(t)=0" used for?

The equation "3cos(t)-sin(t)cos(t)=0" is used to solve for the value of t in trigonometric functions.

2. How do I solve the equation "3cos(t)-sin(t)cos(t)=0"?

To solve this equation, you can use trigonometric identities and algebraic manipulation to simplify the equation and find the value of t that satisfies the equation.

3. What are the steps to solve "3cos(t)-sin(t)cos(t)=0"?

The steps to solve this equation are:
1. Use trigonometric identities to simplify the equation.
2. Use algebraic manipulation to isolate the variable t.
3. Solve for t using algebraic methods such as factoring or the quadratic formula.
4. Check the solution by plugging it back into the original equation.

4. Can I use a calculator to solve "3cos(t)-sin(t)cos(t)=0"?

Yes, you can use a calculator to solve this equation. However, it is important to understand the steps and concepts behind the solution rather than just relying on a calculator.

5. Are there any special cases when solving "3cos(t)-sin(t)cos(t)=0"?

Yes, there are special cases when solving this equation. For example, if t=0 or t=π/2, the equation will be satisfied. Also, if the equation is simplified to cos(t)=0, then the solutions will be t=π/2 + nπ, where n is an integer.

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