System of transcendental equations?

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SUMMARY

The discussion centers on solving a system of transcendental equations involving the variables theta (θ) and W. The equations provided are 0.5TDA sin(θ) = 0, 0.866TDA - W = 0, and 0.5TDA cos(θ) = 50. The user attempts to eliminate variables by manipulating the equations but encounters confusion regarding the validity of the resulting expression sin(θ) - cos(θ) = -50. The solution requires careful consideration of coefficients and the relationships between the trigonometric functions involved.

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  • Understanding of trigonometric functions (sine and cosine)
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  • Basic calculator functions for solving transcendental equations
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Students in mathematics, particularly those studying algebra and trigonometry, as well as educators seeking to understand the complexities of solving transcendental equations.

AerospaceEng
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Homework Statement



I need to find theta (0) and with that I can find W but I am not sure how to I think I am on the right track but I am stumped now and apparently there's a tool on calculators to help you with finding theta rather than guessing. Here are the given equations

0.5TDAsin0=0
0.866TDA-W=0
0.5TDAcos0=50

Homework Equations


The Attempt at a Solution



So i did equation 1 minus equation 3 to eliminate 0.5T.. which gave me

sin0-cos0=-50

Is this the right track? can it even equal -50??

0=Theta when placed beside sin and cos, not zero.
 
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You used row operations to simplify the system, which is quite all right, but you forgot about the coefficient that was attached to each equation. ;)
 

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