Solving a Degree/Radian Function: f(t) = 42cos(2t + 93°)

  • Thread starter mwhowell
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In summary, the given function is f(t) = 42cos(2t + 93°) where t is measured in seconds. When plugging in the value of 808ms for t, the correct solution is -41.8. However, the attempted solution involved converting ms to s and not separating the cosine argument, resulting in an incorrect answer of -1.29. The correct steps should involve converting ms to s and separating the argument before solving for the answer.
  • #1
mwhowell
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Homework Statement



f(t) = 42cos(2t + 93°), where t is measured in seconds

f(808ms) =



Homework Equations





The Attempt at a Solution



42cos(2t)+42cos(93^o^)=
42cos(1616)+42cos(1.62)=
1200.92+1.2=
but that's wrong..help!
 
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  • #2
First, convert ms to s. Second, why are you separating the cos argument?
 
  • #3
i convert from ms to s then do it out again but without separating the arguement. i get -1.29 which is still wrong.
 
  • #4
-41.8 is the answer you should have gotten, correct? I'm not sure where you would have gotten -1.29.
 
  • #5
mwhowell said:
i convert from ms to s then do it out again but without separating the arguement. i get -1.29 which is still wrong.

Show your steps. It is hard to say anything without just writing down the solution when the only information you give is that you get the wrong answer.
 

FAQ: Solving a Degree/Radian Function: f(t) = 42cos(2t + 93°)

How do you convert between degrees and radians?

To convert from degrees to radians, multiply the number of degrees by π/180. To convert from radians to degrees, multiply the number of radians by 180/π.

What is the relationship between degrees and radians?

Degrees and radians are both units of measurement for angles. One full circle is equal to 360 degrees or 2π radians. Therefore, 1 degree is equal to π/180 radians.

Why do we use radians instead of degrees in advanced math and science?

Radians are preferred in advanced math and science because they provide a more natural way to measure angles. Unlike degrees, radians are based on the radius of a circle, making them easier to work with when dealing with circular functions and trigonometry.

How do you use the degree/radian function in real-world applications?

The degree/radian function is commonly used in fields such as engineering, physics, and astronomy to calculate angles and solve problems involving circular motion, waves, and oscillations. It can also be used in navigation and mapping, as well as in computer graphics and animation.

Is there a limit to the number of degrees or radians in a circle?

No, there is no limit to the number of degrees or radians in a circle. A circle is a continuous shape, so it can have an infinite number of degrees or radians. However, a full circle is typically divided into 360 degrees or 2π radians for practical purposes.

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