Cos Theta/Sin Theta=10.11; Solve for Theta

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Homework Help Overview

The discussion revolves around the equation involving trigonometric functions, specifically the relationship between cosine and sine, expressed as cos(θ)/sin(θ) = 10.11. Participants are exploring the implications of this equation for determining the angle θ.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the transformation of the equation into a form involving tangent, questioning the implications of using cotangent and arctangent to find θ.

Discussion Status

Some participants have shared methods for approaching the problem, including the use of a scientific calculator to verify results. There is an acknowledgment of different interpretations of the equation, but no explicit consensus has been reached.

Contextual Notes

One participant mentions feeling stuck after working on a different problem, indicating potential constraints on their focus or understanding. There is also a lighthearted reference to a moment of confusion regarding the terminology used in trigonometry.

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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Nevermind, ultra blonde moment fml. cotcotcotcotcot!
 
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).
 
True that, thanks man, I googled an acot scientific calculator, just checked your method with it and got the same results, boom!
 

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