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Finished trig scenes for eoc3
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Grant Sanderson
parent
184b0a3141
commit
4cafa0e925
1 changed files with 155 additions and 13 deletions
168
eoc/chapter3.py
168
eoc/chapter3.py
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@ -51,7 +51,6 @@ class Chapter3OpeningQuote(OpeningQuote):
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class DerivativeOfXSquaredAsGraph(GraphScene, ZoomedScene, PiCreatureScene):
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CONFIG = {
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"start_x" : 2,
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@ -1942,6 +1941,7 @@ class IntroduceUnitCircleWithSine(GraphScene):
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title = TexMobject("f(\\theta) = \\sin(\\theta)")
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title.to_corner(UP+LEFT)
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self.add(title)
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self.title = title
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def introduce_unit_circle(self):
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circle = self.get_unit_circle()
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@ -2264,9 +2264,6 @@ class DerivativeFromZoomingInOnSine(IntroduceUnitCircleWithSine, ZoomedScene):
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point = self.radial_line.get_end()
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nudged_point = d_theta_arc.point_from_proportion(1)
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# new_v_line = self.line_class(
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# nudged_point, nudged_point[0]*RIGHT
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# )
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interim_point = nudged_point[0]*RIGHT+point[1]*UP
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h_line = DashedLine(
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interim_point, point,
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@ -2281,10 +2278,7 @@ class DerivativeFromZoomingInOnSine(IntroduceUnitCircleWithSine, ZoomedScene):
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d_sine.scale_to_fit_width(1.5*self.d_theta*self.unit_length)
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d_sine.next_to(d_sine_brace, LEFT, SMALL_BUFF/self.zoom_factor)
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self.play(
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ShowCreation(d_theta_arc),
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# ReplacementTransform(self.v_line.copy(), new_v_line)
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)
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self.play(ShowCreation(d_theta_arc))
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self.play(
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GrowFromCenter(d_theta_brace),
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FadeIn(d_theta_label)
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@ -2303,7 +2297,8 @@ class DerivativeFromZoomingInOnSine(IntroduceUnitCircleWithSine, ZoomedScene):
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self.little_triangle = Polygon(
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nudged_point, point, interim_point
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)
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self.d_theta_group = VGroup(d_theta_brace, d_theta_label)
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self.d_sine_group = VGroup(d_sine_brace, d_sine)
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def show_similar_triangles(self):
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little_triangle = self.little_triangle
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@ -2315,15 +2310,162 @@ class DerivativeFromZoomingInOnSine(IntroduceUnitCircleWithSine, ZoomedScene):
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for triangle in little_triangle, big_triangle:
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triangle.highlight(GREEN)
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triangle.set_fill(GREEN, opacity = 0.5)
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new_angle_label = self.angle_label.copy()
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# new_angle_label.
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self.add(little_triangle, big_triangle)
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new_angle_label.scale(
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little_triangle.get_width()/big_triangle.get_height()
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)
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new_angle_label.rotate(-np.pi/2)
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new_angle_label.shift(little_triangle.points[0])
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new_angle_label[1].rotate_in_place(np.pi/2)
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self.play(DrawBorderThenFill(little_triangle))
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self.dither()
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for mob in self.d_theta_group, self.d_sine_group:
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self.play(
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mob.scale, 1.2, mob.get_corner(DOWN+RIGHT),
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mob.highlight, YELLOW,
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rate_func = there_and_back,
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)
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self.dither()
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self.play(
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DrawBorderThenFill(big_triangle),
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Animation(self.angle_label)
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)
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self.dither()
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self.play(
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self.radial_line.rotate_in_place, np.pi/12,
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Animation(big_triangle),
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rate_func = wiggle,
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)
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self.dither()
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self.play(
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ReplacementTransform(
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big_triangle.copy().set_fill(opacity = 0),
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little_triangle,
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path_arc = -np.pi/2,
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run_time = 3,
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),
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Animation(self.angle_label)
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)
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self.dither()
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self.play(Write(new_angle_label))
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self.dither()
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def analyze_ratios(self):
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pass
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d_ratio = TexMobject("\\frac{d(\\sin(\\theta))}{d\\theta} = ")
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VGroup(*d_ratio[:9]).highlight(GREEN)
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VGroup(*d_ratio[10:12]).highlight(MAROON_B)
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trig_ratio = TexMobject("\\frac{\\text{Adj.}}{\\text{Hyp.}}")
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VGroup(*trig_ratio[:4]).highlight(GREEN)
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VGroup(*trig_ratio[5:9]).highlight(MAROON_B)
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cos = TexMobject("= \\cos(\\theta)")
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cos.add_background_rectangle()
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group = VGroup(d_ratio, trig_ratio, cos)
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group.arrange_submobjects()
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group.next_to(
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self.title, DOWN,
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buff = MED_LARGE_BUFF,
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aligned_edge = LEFT
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)
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for mob in group:
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self.play(Write(mob))
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self.dither()
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class TryWithCos(TeacherStudentsScene):
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def construct(self):
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self.teacher_says(
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"Try the same \\\\ with $\\cos(\\theta)$",
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target_mode = "hooray"
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)
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self.change_student_modes(*["pondering"]*3)
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self.dither(3)
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class NextVideo(TeacherStudentsScene):
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def construct(self):
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series = VideoSeries()
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next_video = series[3]
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series.to_edge(UP)
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d_sum = TexMobject("\\frac{d}{dx}(x^3 + x^2)")
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d_product = TexMobject("\\frac{d}{dx} \\sin(x)x^2")
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d_composition = TexMobject("\\frac{d}{dx} \\cos\\left(\\frac{1}{x}\\right)")
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group = VGroup(d_sum, d_product, d_composition)
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group.arrange_submobjects(RIGHT, buff = 2*LARGE_BUFF)
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group.next_to(VGroup(*self.get_everyone()), UP, buff = LARGE_BUFF)
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self.play(
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FadeIn(
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series,
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submobject_mode = "lagged_start",
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run_time = 3,
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),
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*[
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ApplyMethod(pi.look_at, next_video)
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for pi in self.get_everyone()
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]
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)
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self.play(
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next_video.highlight, YELLOW,
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next_video.shift, MED_LARGE_BUFF*DOWN
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)
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self.dither()
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for mob in group:
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self.play(
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Write(mob, run_time = 1),
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*[
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ApplyMethod(pi.look_at, mob)
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for pi in self.get_everyone()
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]
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)
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self.dither(3)
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class Chapter3PatreonThanks(PatreonThanks):
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CONFIG = {
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"specific_patrons" : [
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"Ali Yahya",
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"CrypticSwarm ",
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"Yu Jun",
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"Shelby Doolittle",
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"Dave Nicponski",
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"Damion Kistler",
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"Juan Benet",
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"Othman Alikhan",
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"Markus Persson",
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"Dan Buchoff",
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"Derek Dai",
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"Joseph John Cox",
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"Luc Ritchie",
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"Guido Gambardella",
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"Jerry Ling",
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"Mark Govea",
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"Vecht ",
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"Jonathan Eppele",
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"Shimin Kuang",
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"Rish Kundalia",
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"Achille Brighton",
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"Kirk Werklund",
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"Ripta Pasay",
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"Felipe Diniz",
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]
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}
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