Properties Of Tangent Math

Below are a number of properties of the tangent function that may be helpful to know when working with trigonometric functions.

Properties of tangent math. 672 standard equation of a circle p. 699 key vocabulary now circles can be used to model a wide variety of natural phenomena. Can you tell. 672 intercepted arc p.

659 minor arc p. Can you recognize some of the properties of a tangent function using this applet. At the point of tangency it is perpendicular to the radius. The circles are said to be congruent if they have equal radii the diameter of a circle is the longest chord of a circle equal chords and equal circles have the equal circumference.

Properties of the tangent function. 660 inscribed angle p. 651 central angle p. Example 1 find all values of x on the interval 0 2 pi such that tan x is undefined.

659 semicircle p. Tangent is a cofunction of cotangent. 659 major arc p. 1 a tangent is perpendicular to the radius at the point of tangency.

See if this applet can help you discover solutions for the questions below. A chord and tangent form an angle and this angle is same as that of tangent inscribed on the opposite side of the chord. What does the relationship between the tan x and the tan x tell you about tangent. 659 congruent circles p.

Since the tangent function is defined as it is there are values of x such that the tangent function is undefined and this problem is fundamental to graphical properties of the tangent function. 660 congruent arcs p. 3 the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of that chord. You can use properties of circles to.

As you move the large white point what do you notice happens to the purple and green lines. 2 tangent segments to an external point of a circle are equal. Remember the following points about the properties of tangents the tangent line never crosses the circle it just touches the circle. A cofunction is a function in which f a g b given that a and b are complementary angles.

Tan t tan t notice in particular that sine and tangent are odd functions being symmetric about the origin while cosine is an even function being symmetric about the y axis. In the context of tangent and cotangent. Interact with the applet below for a few minutes then answer the questions that follow.