Give the range of possible solutons of trig equation

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To determine the range of possible solutions for the given trigonometric equations, one must first isolate variables and express them in terms of v (velocity). The equations involve cosine and sine functions, which suggest the use of trigonometric identities and possibly substitution methods. Participants emphasize the importance of showing initial attempts at solving the problem to facilitate guidance. The discussion highlights the collaborative nature of problem-solving in mathematics, encouraging participants to share their thought processes. Engaging with the equations systematically will lead to a clearer understanding of the range of values for v.
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given two eqs.

Xcos30 + Ycos55 = 68.67
1.356 * (X sin 30 + Y sin55) = 7v^2

Determine the range of values of v(velocity).
 
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Okay, how do you think you might start off ? We can't do your HW for you, so tell us what your ideas are, and we'll help you along.
 
ive already started the problem, and it brings me here in this eq.
 
That was not the question. What have you tried to solve this?
 
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