PPT-Graphs of Tangent and Cotangent

A brief journey into Section 45a Analysis of the Tangent Function by Domain All reals except odd multiples of Range Continuous on its domain Increasing on each interval in i ts domain. It can also be though. t. of as the locus of the end of a piece of string as the string is . wound/unwound. around the circumference of a plane figure. Involutes. Involutes are used to determine the length of belts used in pull. Tangent Lines. Average Rate of Change. The . average rate of change. of a quantity over a period of time is the slope on that interval of time.. Ex.:. . Find the average rate of change of . f(x) = x. 9.5 . Tangents to Circles. Objectives. Identify segments and lines related to circles.. Use properties of a tangent to a circle. .. Some definitions you need. Circle. – set of all points in a plane that are . Theorem:. . Two chords are congruent IFF they are equidistant from the center.. . A. B. C. D. M. L. P. AD .  BC. IFF. LP .  PM. Ex. 1: . IN . A, PR = 2x + 5 . and QR = 3x –27. Find x.. P. Reducing Wholesale Cost Risk. Municipal Utility Presentation. Municipal Utilities will experience significant cost increases that pressure rate payer price hikes. What risk?. 2. CAGR growth in capacity prices.. Slope is the rate of change . or. . . Secant slope. the slope between two points. . tangent slope. the slope at one point of contact. and is based upon a limit.. Noun: derivative. Verb: differentiation or to. Objective: Students will be able to graph and identify the basic trig functions and their . graphs with . transformations.. Tangent. basic graph is the same as sin and cosine. Find the equations of tangents at given points. Find the points on the curve if tangent slope is known. Find equations of tangents . parallel. to given lines through a given point.. Find equations of tangents . The slope of the secant line is given by. The tangent line’s slope at point a is given by. a. x. Example. Find the equation for the line tangent to the parabola . y = x. 2. at the point (1, 1). Another Form. Segments and Lines in relation to circles. Review of Terms and Ideas. Tangent. Line or segment that touches a circle at one point ( point of tangency). This line or segment is perpendicular to the radius at this point. Goals for today:. Graph sine, cosine and tangent graphs by hand. Identify areas of increase/decrease/positive/negative on graphs of trig functions. Accurately identify amplitude and midline of a trigonometric graph or function. Warm Up. Write the equation of each item.. 1.. . FG. . x. = –2. y. = 3. 2.. . EH. 3.. . 2(25 –. x. ). = x . 2. 4.. 3. x . 8. = . 4. x. x. = 16. x. = 8. Identify tangents, secants, and chords.. Alyssa Cobranchi. AP Calculus. Rectilinear Motion Introduction. Rectilinear Motion is the movement of a particle on a straight line.. It is an application of the derivative of a function.. Some examples can include a race car moving along a straight track, an object thrown from the top of a building and falling straight down, or a ball thrown straight up and then falling straight down.. here is to explore the relationship between teachers beliefs about mathematical reasoning and pedagogical practice Our particular focus is on teacher beliefs about the role of visualisation as evident