Application of Trigonometry in Real Life Situation
Mathematics is a subject that is vital for gaining a better perspective on events that occur in the natural world an in real life situation. A keen aptitude for math improves critical thinking and promotes problem-solving abilities. One specific area of mathematical and geometrical reasoning is trigonometry which studies the properties of triangles. In some of the fields such as architecture, astronomy , biology, cartography, chemistry, civil engineering, computer graphics, geophysics, crystallography and economics , some things in these fields cannot be understood without trigonometry. These proved that trigonometry really is needed in our real life situation. Trigonometry finds a perfect partner in modern architecture. It is really needed in architecture fields, without trigonometry architecture is hard to understand. The beautifully curved surfaces in steel, stone and glass would be impossible if not for the immense potential of this science. So how does this work actually. In fact the flat panels and straight planes in the building are but at an angle to one another and the illusion is that of a curved surface. Although it is unlikely that one will ever need to directly apply a trigonometric function in solving a practical issue, the fundamental background of the science finds usage in an area which is passion for many is music. As we may be aware sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means that sound engineers and technologists who research advances in computer music and even hi-tech music composers have to relate to the basic laws of trigonometry.

Besides that, trigonometry is an arty science that can be used to measure the heights of mountains. We...

...Trigonometric Identities
I. Pythagorean Identities
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II. Sum and Difference of Angles Identities
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III. Double Angle Identities
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IV. Half Angle Identities
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6-1 Inverse Trig Functions p. 468: 1-31 odd
I....

...Module 5 Circular Functions and Trigonometry
What this module is about
This module is about trigonometric equations and proving fundamental identities. The lessons in this module were presented in a very simple way so it will be easy for you to understand solve problems without difficulty. Your knowledge in previous lessons would be of help in the process
What you are expected to learn
This module is designed for you to: 1. state the fundamental identities 2....

...CIRCULAR FUNCTIONS AND TRIGONOMETRY
CONTENTS
-Angles and Their Measures
-Degrees and Radians
-Angles in Standard Position and Coterminal Angles
-Angles in a Quadrant
-The Unit Circle
-Coordinates of Points on the Unit Circle
-The Sine and Cosine Function
-Values of Sine and Cosine Functions
-Graphs of Sine and Cosine Functions
-The Tangent Function
-Graph of Tangent Function...

...s.3 Proving Trigonometric Identities
When listening to Mr. Burger on how to prove trig identities he stated that you mightwant to work with both sides and come to common end statement. I think of proving trigidentities the same way you did proofs in geometry. You typically want to work with oneside, massage it, and hopefully you will create the expression on the other side of theequal sign. These types of problems should be viewed as ‘given a problem and itsanswer, how do...

...3.3 Derivatives of TrigonometricFunctions
Math 1271, TA: Amy DeCelles
1. Overview
You need to memorize the derivatives of all the trigonometricfunctions. If you don’t get them
straight before we learn integration, it will be much harder to remember them correctly.
(sin x)
=
cos x
(cos x)
=
− sin x
(tan x)
=
sec2 x
(sec x)
=
sec x tan x
(csc x)
=
− csc x cot x
(cot x)
=
− csc2 x...

...Trig Cheat Sheet
Definition of the Trig Functions
Right triangle definition For this definition we assume that p 0 < q < or 0° < q < 90° . 2 Unit circle definition For this definition q is any angle.
y
( x, y )
hypotenuse opposite
y 1 x
q
x
q
adjacent sin q = opposite hypotenuse adjacent cos q = hypotenuse opposite tan q = adjacent hypotenuse opposite hypotenuse sec q = adjacent adjacent cot q = opposite csc q = sin q = y =y 1 x cos q = = x 1 y tan q = x 1 y 1...

...C H A P T E R
16
Circular Functions
Objectives
To use radians and degrees for the measurement of angle. To convert radians to degrees and vice versa. To define the circular functions sine, cosine and tangent. To explore the symmetry properties of circular functions. To find standard exact values of circular functions. To understand and sketch the graphs of circular functions.
16.1
Measuring angles in degrees and...

...Submitted By:
Ma. Karla Rachelle Ulibas
Student
Submitted To:
Mr. Ray-ann Buenafe
Instructor
HISTORY OF TRIGONOMETRICFUNCTIONSTrigonometricfunctions seem to have had their origins with the Greek’s investigation of the indirect measurement of distances and angles in the “celestial sphere”. (The ancient Egyptians had used some elementary geometry to build the pyramids and remeasure lands flooded by the Nile, but neither...