And does the answer depend on gravity? In other words would it be the same angle on the moon?
This is not an algebraic equation, so it can't be solved in that manner.I got 0.5sin2x-sin(2x)=0 but I don't know how to algebraically solve that equation
O okay, so would Newton's method be the best numerical technique for this trigonometric equation that we can restrict the angles?This is not an algebraic equation, so it can't be solved in that manner.
You can either plot it and find the solutions graphically or use a numerical technique, like iteration or Newton's method.
Since it is trigonometric, there are probably an infinite number of solutions, but you can restrict the range of angles which interest you.
It's not 45 degrees for the same reason it's not 12, 38.987, or 756 degrees: it's not the right answer. Yes, there is some sort of similarity between the idea of equal height and distance, and the idea of an angle being equally far from vertical and horizontal, but you will find that picking answers to mathematical equations based on what seems sort of a right answer gives poor math grades and even more poorly designed bridges.TY nasu. Why is the answer 75.96? Why is the answer not 45 degrees?
Who said is "intuitive"?Why is the answer 75.96? How is that intuitive? Why is it the same on every planet?
One intuitive solution is to consider that the trajectory is a inverted parabola like the green one below:How is that intuitive?