Cos Theta/Sin Theta=10.11; Solve for Theta

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To solve the equation cos(theta)/sin(theta) = 10.11, it can be rewritten as tan(theta) = 1/10.11. Taking the arctangent of both sides provides the value of theta within the interval (0, π/2). The user confirmed the method by using an acot scientific calculator, which yielded consistent results. The discussion highlights a common trigonometric identity and the process of solving for theta. The solution emphasizes the importance of understanding cotangent and tangent relationships in trigonometry.
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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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