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- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Nguyen)/02%3A_Limits/2.02%3A_A_Preview_of_CalculusAs we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in th...As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in the chapter opener. Two key problems led to the initial formulation of calculus: (1) the tangent problem, or how to determine the slope of a line tangent to a curve at a point; and (2) the area problem, or how to determine the area under a curve.
- https://math.libretexts.org/Courses/Quinebaug_Valley_Community_College/MAT186%3A_Pre-calculus_-_Walsh/05%3A_Trigonometric_Functions/5.03%3A_The_Other_Trigonometric_FunctionsTrigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and co...Trigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and cosine are the trigonometric functions most often used, there are four others. Together they make up the set of six trigonometric functions. In this section, we will investigate the remaining functions.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q1/02%3A_Limits/2.02%3A_A_Preview_of_CalculusAs we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in th...As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in the chapter opener. Two key problems led to the initial formulation of calculus: (1) the tangent problem, or how to determine the slope of a line tangent to a curve at a point; and (2) the area problem, or how to determine the area under a curve.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/13%3A_Trigonometric_Functions/13.03%3A_The_Other_Trigonometric_FunctionsTrigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and co...Trigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and cosine are the trigonometric functions most often used, there are four others. Together they make up the set of six trigonometric functions. In this section, we will investigate the remaining functions.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/06%3A_Trigonometric_Functions/6.04%3A_The_Other_Trigonometric_FunctionsTrigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and co...Trigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and cosine are the trigonometric functions most often used, there are four others. Together they make up the set of six trigonometric functions. In this section, we will investigate the remaining functions.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206_Precalculus/5%3A_Trigonometric_Functions/5.3%3A_The_Other_Trigonometric_FunctionsTrigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and co...Trigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and cosine are the trigonometric functions most often used, there are four others. Together they make up the set of six trigonometric functions. In this section, we will investigate the remaining functions.
- https://math.libretexts.org/Courses/City_College_of_San_Francisco/CCSF_Calculus/02%3A_Learning_Limits/2.01%3A_Tangent_Lines_and_VelocityWe begin our exploration of calculus by reconnecting with a topic from our early days in algebra - slope. The concept of slope is fundamentally important in calculus and this section, along with our o...We begin our exploration of calculus by reconnecting with a topic from our early days in algebra - slope. The concept of slope is fundamentally important in calculus and this section, along with our old friend "slope," allows a gentle introduction to a monumentally important subject in mathematics and physics.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_210_Calculus_I_(Professor_Dean)/Chapter_2_Limits/2.1%3A_The_Idea_of_LimitsAs the widths of the rectangles become smaller (approach zero), the sums of the areas of the rectangles approach the area between the graph of f(x) and the x-axis over the interval [a,b]. A ta...As the widths of the rectangles become smaller (approach zero), the sums of the areas of the rectangles approach the area between the graph of f(x) and the x-axis over the interval [a,b]. A tangent line to the graph of a function at a point (a,f(a)) is the line that secant lines through (a,f(a)) approach as they are taken through points on the function with x-values that approach a; the slope of the tangent line to a graph at a measures the rate of change of the function at a
- https://math.libretexts.org/Courses/Las_Positas_College/Math_39%3A_Trigonometry/01%3A_Trigonometric_Functions/1.04%3A_The_Other_Trigonometric_FunctionsTrigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and co...Trigonometric functions allow us to specify the shapes and proportions of objects independent of exact dimensions. We have already defined the sine and cosine functions of an angle. Though sine and cosine are the trigonometric functions most often used, there are four others. Together they make up the set of six trigonometric functions. In this section, we will investigate the remaining functions.
- https://math.libretexts.org/Courses/Reedley_College/Calculus_I_(Casteel)/02%3A_Limits/2.01%3A_A_Preview_of_CalculusAs we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in th...As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in the chapter opener. Two key problems led to the initial formulation of calculus: (1) the tangent problem, or how to determine the slope of a line tangent to a curve at a point; and (2) the area problem, or how to determine the area under a curve.
- https://math.libretexts.org/Under_Construction/Purgatory/Remixer_University/Username%3A_hdagnew@ucdavis.edu/Courses%2F%2FRemixer_University%2F%2FUsername%3A_hdagnew@ucdavis.edu%2F%2FMonroe2/Courses%2F%2FRemixer_University%2F%2FUsername%3A_hdagnew@ucdavis.edu%2F%2FMonroe2%2F%2FChapter_2_Limits/Courses%2F%2FRemixer_University%2F%2FUsername%3A_hdagnew@ucdavis.edu%2F%2FMonroe2%2F%2FChapter_2_Limits%2F%2F2.1%3A_The_Idea_of_LimitsAs the widths of the rectangles become smaller (approach zero), the sums of the areas of the rectangles approach the area between the graph of f(x) and the x-axis over the interval [a,b]. A ta...As the widths of the rectangles become smaller (approach zero), the sums of the areas of the rectangles approach the area between the graph of f(x) and the x-axis over the interval [a,b]. A tangent line to the graph of a function at a point (a,f(a)) is the line that secant lines through (a,f(a)) approach as they are taken through points on the function with x-values that approach a; the slope of the tangent line to a graph at a measures the rate of change of the function at a
