System of transcendental equations?

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To solve the system of transcendental equations, the user is attempting to find theta (θ) and subsequently W. The equations provided include trigonometric functions and constants, leading to a derived equation: sin(θ) - cos(θ) = -50. There is a suggestion that a calculator tool may assist in determining theta without guesswork. The user is reminded to consider the coefficients in the equations during simplification. The discussion emphasizes the importance of careful manipulation of the equations to find accurate solutions.
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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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