Help solving trigonometric equation?

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Discussion Overview

The discussion revolves around solving a trigonometric equation derived from a statics problem involving equilibrium. Participants are exploring methods to manipulate and solve the equation mathematically.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant requests tips for solving the equation 400*(2,2*cosV-1)*tanV=20*9,81, expressing difficulty in finding V.
  • Another participant seeks clarification on the notation used for decimals, confirming that 2,2 represents 2.2 and 9,81 represents 9.81.
  • A participant explains the context of the equation, noting it comes from a statics problem involving a disk with a spring and that they have verified the equation numerically but struggle with the mathematical solution.
  • One participant suggests rewriting the equation in terms of sine and cosine, leading to the expression 2.2sin(V)cos(V) = sin(V) + (9.81/20)cos(V), and mentions uncertainty about the manipulation of the right-hand side.
  • There is a suggestion that if no better manipulations are found, a numerical solution may be necessary.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best approach to solve the equation, with multiple perspectives on how to manipulate the equation and uncertainty about the right-hand side of the expression.

Contextual Notes

Participants express limitations in their understanding of manipulating trigonometric equations and the notation for decimals, which may affect their ability to communicate and solve the problem effectively.

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Can someone please give me some tips on how to solve this? :

400*(2,2*cosV-1)*tanV=20*9,81, I am supposed to find V, but I can't see how to solve this equation.
 
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Does 2,2 represent 2.2 and 9,81 9.81? Show how much you've done already.
 
snipez90 said:
Does 2,2 represent 2.2 and 9,81 9.81? Show how much you've done already.

Yes, i am sorry, I am not familiar with the correct way to write decimals.

What I have done already? I made this equation from a statics problem which required equlibrium of a disk with a spring around a quarter circle. I have tried checking the equation numerically and it gives the right answers, but I have no idea how I am supposed to solve the equation mathematically.
 
It's ok I've seen them written that way. The main difficulty I'm having is dealing with these not so nice numbers. I figured I would write everything in terms of sin and cos which would bring me to 2.2sin(V)cos(V) = sin(V) + (9.81/20)cos(V). The left hand side is 1.1sin(2V) but I'm not certain about the right hand side.

I'm not sure if there are better manipulations but if not a numerical solution will have to do.
 

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