 # Trigonometric Functions

Trig Trigonometry.

## Reciprocal Trigonometric Functions

MathTerminology for incoming Uni students. Topics in Trigonometry. Unit circle. Mathispower4u. Angles and Right Triangles. Algebra Trig Review. Show Mobile NoticeShow All NotesHide All Notes You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width. This review was originally written for my Calculus I class, but it should be accessible to anyone needing a review in some basic algebra and trig topics. The review contains the occasional comment about how a topic will/can be used in a calculus class. Because this review was originally written for my Calculus students to use as a test of their algebra and/or trig skills it is generally in the form of a problem set. So, why did I even bother to write this? The ability to do basic algebra is absolutely vital to successfully passing a calculus class. Trigonometry.

## Trig Equations

Algebra Trig Review. Show Mobile NoticeShow All NotesHide All Notes You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width. Here is the Trig portion of my Algebra/Trig Review. It contains the following sections. Trig Function Evaluation – How to use the unit circle to find the value of trig functions at some basic angles.Graphs of Trig Functions – The graphs of the trig functions and some nice properties that can be seen from the graphs.Trig Formulas– Some important trig formulas that you will find useful in a Calculus course.Solving Trig Equations – Techniques for solving equations involving trig functions.Inverse Trig Functions – The basics of inverse trig functions. What Is Trigonometry?

We learn from The Words of Mathematics: trigonometry (noun), trigonometric (adjective): the first part of the word is from Greek trigon "triangle". The second part of trigonometry is from Greek metron "a measure. " The Indo-European root is probably me- "to measure. " Trigonometry is literally the measuring (of angles and sides) of triangles. Historically speaking, the triangular approach to trigonometry is ancient, wheres the circular approach now taught in our schools is relatively recent. So originally trigonometry was understood to define relations between elements of a triangle. If the sides a, b, c of a triangle lie opposite angles α, β, γ then is oneof the inequalities that the sides obey, and is the identity that holds in Euclidean geometry.

There is an awful amount of trigonometric identities. Sin² α + cos² α = 1. Then there are double argument formulas: sin 2α = 2 sin α cos α cos 2α = cos² α - sin² α tan 2α = 2 tan α / (1 - tan² α) cot 2α = (cot² α - 1) / 2cot α. References I.

## Law of Sines and Cosines

Category:Trigonometry. Math 1A/1B: Pre-Calculus - Trigonometry. Trig. Catalog Search Results. Catalog Search Results | Hathi Trust Digital Library Navigation HathiTrust Digital Library Search this index Main Content Refine Results Viewability Subject Author Language English (1,183) German (134) French (100) Latin (23) Italian (14) more... Trigonometry. Catalog Record: Trigonometry | Hathi Trust Digital Library Navigation HathiTrust Digital Library Search this index Main Content Similar Items Elements of plane trigonometry, By: Kenyon, Alfred Monroe, 1869- Published: (1919) Elements of plane trigonometry, By: Kenyon, Alfred Monroe, 1869- Published: (1921) Trigonometry, By: Kenyon, Alfred Monroe, 1869- Published: (1913) Logarithmic and trigonometric tables, By: Hedrick, E. Tools Trigonometry, by Alfred Monroe Kenyon ... and Louis Ingold ... Trigonometry. Catalog Record: Trigonometry | Hathi Trust Digital Library Navigation HathiTrust Digital Library Search this index Main Content Similar Items Trigonometry, By: Kenyon, Alfred Monroe, 1869- Published: (1914) Logarithmic and trigonometric tables, By: Hedrick, E. Tools Trigonometry, by Alfred Monroe Kenyon and Louis Ingold, ed. by Earle Raymond Hedrick. Basic Trigonometric Functions. The trigonometric functions relate the angles in a right triangle to the ratios of the sides. Given the following triangle: the basic trigonometric functions are defined for as If we consider the angle and label the sides with respect to , then is the length of the "adjacent" side, is the length of the "opposite" side, and is the length of the hypotenuse. Then the basic trigonometric functions can be expressed as follows: For a review of converting between degrees and radians, see Degrees and Radians. Unit Circle. Chapter 5. MITRES 18 001 strang 1517. Basic Trigonometry. Video 5: Introduction to Trigonometry. Trigonometry: CK-12 & Sousa. Trigonometry (Precalculus II)