Cos Theta/Sin Theta=10.11; Solve for Theta

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In summary, the equation "Cos Theta/Sin Theta=10.11" represents the ratio of the cosine and sine of an angle, which can be solved for using the inverse trigonometric function arctangent. Cos Theta and Sin Theta are trigonometric functions used to calculate ratios in a right triangle, with Cos Theta representing the adjacent side and Sin Theta representing the opposite side. The value of Theta can be negative in this equation, indicating an angle in the second or third quadrant. However, Theta cannot equal 90 degrees or any multiple of 90 degrees as this would make the equation undefined.
  • #1
Squires
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if cos(theta)/sin(theta)=10.11, what is theta considering theta is a constant, just spent 2 hours on a collisions question and am stuck on the last hurdle, thanks for looking
 
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  • #2
Nevermind, ultra blonde moment fml. cotcotcotcotcot!
 
  • #3
And since cot(θ) = 1/tan(θ), your equation is equivalent to tan(θ) = 1/10.11. Take the arctangent of both sides to find the value of θ in the interval (0, π/2).
 
  • #4
True that, thanks man, I googled an acot scientific calculator, just checked your method with it and got the same results, boom!
 

Related to Cos Theta/Sin Theta=10.11; Solve for Theta

1. What is the meaning of "Cos Theta/Sin Theta=10.11"?

The equation "Cos Theta/Sin Theta=10.11" is a trigonometric equation that represents the ratio of the cosine and sine of an angle, which is equal to 10.11.

2. How can I solve for Theta in "Cos Theta/Sin Theta=10.11"?

To solve for Theta, you can use the inverse trigonometric functions on both sides of the equation. In this case, you would use the arctangent function to find the value of Theta.

3. What is the difference between Cos Theta and Sin Theta?

Cos Theta and Sin Theta are both trigonometric functions that are used to calculate the ratio of sides in a right triangle. Cos Theta represents the ratio of the adjacent side to the hypotenuse, while Sin Theta represents the ratio of the opposite side to the hypotenuse.

4. Can the value of Theta be negative in "Cos Theta/Sin Theta=10.11"?

Yes, the value of Theta can be negative in this equation. This means that the angle is in the second or third quadrant of the coordinate plane.

5. Are there any restrictions on the values of Theta in "Cos Theta/Sin Theta=10.11"?

Yes, there are restrictions on the values of Theta in this equation. Theta cannot be equal to 90 degrees or any multiple of 90 degrees, as the denominator Sin Theta would be equal to 0, making the equation undefined.

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