Find an equation of the plane. the plane that passes through (9, 0, −1) and contains the line x = 5 − 4t, y = 1 + 5t, z = 4 + 2t
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so.. what value of "x" makes x+4 to 0?
the domain will be, all real numbers, except that value
about the range, "y" will take, whateve "x" can provide.. in this case... I think is all real numbers, except 0, because, if you give a few big values to "x", the fraction will simply have a bigger and bigger denominator, making the fraction smaller and smaller, ever approaching 0, but never getting there
Check the picture below.
so, as I see it, we can simply move from the point P, 360° counter-clockwise, the green one, and we'll be landing on a positive angle on the 1st Quadrant, the angle of 360° + 30° = 390°.
we can also move 360° clockwise, the red one, from P, so we'll be landing at -360° + 30 = -330°, also on the 1st Quadrant, but a negative counterpart.
now, if we move by jumps of 360° on either direction, we'll be landing coterminal with P all the time, so if we use simply multiply 360° by "n", some integer, then that angle added or subtracted from 30°, will be coterminal with P.
( 6 , 30°±360n°) where n ∈ ℤ.
