Indirect measurement Many problems involving right triangles
... angles are acute (between 0º and 90º). • The side opposite the right angle is the longest side, and is called the hypotenuse. • The two sides adjacent to the right angle are called legs of the right triangle. The word adjacent means “beside”. ...
... angles are acute (between 0º and 90º). • The side opposite the right angle is the longest side, and is called the hypotenuse. • The two sides adjacent to the right angle are called legs of the right triangle. The word adjacent means “beside”. ...
Trig Review - Holy Cross Collegiate
... path is 47°. One hour later, plane A has travelled 850 km and plane B has travelled 900 km. How far apart are the two planes at this time? Round the distance to the nearest kilometer. ...
... path is 47°. One hour later, plane A has travelled 850 km and plane B has travelled 900 km. How far apart are the two planes at this time? Round the distance to the nearest kilometer. ...
opposite side adjacent side adjacent side hypotenuse opposite side
... Today we are going to attempt to look at a picture on a graph and identify those 6 trig functions. Think about the refresher we just went through and graph the following points. ...
... Today we are going to attempt to look at a picture on a graph and identify those 6 trig functions. Think about the refresher we just went through and graph the following points. ...
Document
... Law of Cosines There are two main ways of writing the Law of Cosines one for finding a side, one for finding an angle. ...
... Law of Cosines There are two main ways of writing the Law of Cosines one for finding a side, one for finding an angle. ...
Tuesday January 20, 2015 “Review Test” Learning Objective
... (2) Using the Side-Splitter Theorem to divide a line segment into any number of equal sections. (3) Proving the Side-Splitter Theorem (4) Using the Side-Splitter Theorem to calculate segments on a triangle divided by a line parallel to one side. (5) Using the trigonometric ratios (sine, cosine, tang ...
... (2) Using the Side-Splitter Theorem to divide a line segment into any number of equal sections. (3) Proving the Side-Splitter Theorem (4) Using the Side-Splitter Theorem to calculate segments on a triangle divided by a line parallel to one side. (5) Using the trigonometric ratios (sine, cosine, tang ...
Accelerated Math 2
... 1. Using construction paper, compass, straightedge, protractor, and scissors, make and cut out nine right triangles. One right triangle should have an acute angle of 5°, the next should have an acute angle of 10°, and so forth, all the way up to 45°. As you make the triangles, you should construct t ...
... 1. Using construction paper, compass, straightedge, protractor, and scissors, make and cut out nine right triangles. One right triangle should have an acute angle of 5°, the next should have an acute angle of 10°, and so forth, all the way up to 45°. As you make the triangles, you should construct t ...
3/20 9.4-9.6 Quiz Review and Answers File
... Given two sides: Use Pythagorean theorem to find third side; use inverse trig. to find one acute angle and subtract it from 90º to find the other acute angle. Given one side and one acute angle: Subtract the angle from 90º to find the other angle; use trig. to find the two sides. ...
... Given two sides: Use Pythagorean theorem to find third side; use inverse trig. to find one acute angle and subtract it from 90º to find the other acute angle. Given one side and one acute angle: Subtract the angle from 90º to find the other angle; use trig. to find the two sides. ...
Name: :______ Date:
... 4. Use right triangle trigonometry to explain the relationship between the angle and the highlighted leg of the right triangle in the unit circle. What trigonometric function can be represented by the length of the leg of the right triangle? ...
... 4. Use right triangle trigonometry to explain the relationship between the angle and the highlighted leg of the right triangle in the unit circle. What trigonometric function can be represented by the length of the leg of the right triangle? ...
Trigonometric functions
In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used, for instance, in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year.In modern usage, there are six basic trigonometric functions, tabulated here with equations that relate them to one another. Especially with the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically, or by other means, and then derive these relations.