Answer :
Final answer:
The given equation is a trigonometric equation, and can be solved by using trigonometric identities to simplify the equation, then finding the roots of the simplified equation.
Explanation:
To solve the equation 240sinθcosθ−98.1sinθ−50=0 for θ, we first need to use the identity sin(2θ)=2sinθcosθ which simplifies the equation to 120sin(2θ)−98.1sinθ−50=0.
This equation is not the standard form of a quadratic equation, but it can be solved using mathematical principles and some various mathematical techniques.
As it is trigonometric, we are looking for θ between 0 and 2π. By plotting the function in graphing software and obtaining the roots, we can obtain θ values, which will be in degrees. Remember that solutions should fall in the domain 0 <= θ <= 2π.
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