We cover the inverses to the trigonometric functions sine, cosine, tangent, cotangent, secant, cosecant, and their derivatives. The remarkable fact is that although these functions and their inverses are transcendental (complicated) functions, the derivatives are algebraic functions. Also, we meet my all-time favorite function: arctan.
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We cover the inverses to the trigonometric functions sine, cosine, tangent, cotangent, secant, cosecant, and their derivatives. The remarkable fact is that although these functions and their inverses are transcendental (complicated) functions, the derivatives are algebraic functions. Also, we meet my all-time favorite function: arctan.
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In this Presentation, I have explained the co-ordinate system in three plain. ie Cylindrical, Spherical, Cartesian(Rectangular) along with its Differential formulas for length, area &volume.
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The PowerPoint presentation is on the "BASICS OF TRIGONOMETRY".
It includes the --
1) Definition of Trigonometry,
2) History of Trigonometry and its Etymology,
3) Angles of a Right Triangle,
4) About different Trigonometric Ratios,
5) Some useful Mnemonics to remember the Trig. ratios,
6) Theorem, which states that --
"Trigonometric Ratios are same for the same angles"
7) Trigonometric Ratios for some specific/ standard angles.
It is a ppt on Trigonometry for th students of class 10 .
The basic concepts of trigonometry are provided here with examples Hope that that you like it .!! Thankyou ..!! :)
this is a slide share on introduction of trigonometry this slide share includes every single information about the lesson trigonometry and this is best for class 10
A complete and comprehensive lesson on concept delivery of Inverse Trigonometric Functions for HSSC level. This lesson is fully helpful for Pakistani and Foreigner.
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This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
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2. Definition;
Functions of an angle of a triangle.i.e.
the relationship between the angle and side
of a triangle.
Note; Trigonometric functions are also
known
as a circular function.
4. Sine Function
Sine function of an angle is the ratio
between the opposite side length to that of
the hypotenuse. From the above diagram,
the value of sin will be:
Sin a =Opposite/Hypotenuse = CB/CA
5. Cos Function
Cos of an angle is the ratio of the length of
the adjacent side to the length of the
hypotenuse. From the above diagram,
the cos function will be derived as follows.
Cos a = Adjacent/Hypotenuse = AB/CA
6. Tan Function
The tangent function is the ratio of the
length of the opposite side to that of the
adjacent side. It should be noted that the
tan can also be represented in terms of
sine and cos as their ratio. From the
diagram taken above, the tan function will
be the following.
Tan a = Opposite/Adjacent = CB/BA
Also, in terms of sine and cos, tan can be
represented as:
Tan a = sin a/cos a
7. Secant, Cosecant and Cotangent
Functions
Secant, cosecant (csc) and cotangent are
the three additional functions which are
derived from the primary functions of sine,
cos, and tan. The reciprocal of sine, cos,
and tan are cosecant (csc), secant (sec),
and cotangent (cot) respectively. The
formula of each of these functions are
given as:
8. Mathematical Ratio
Sec a = 1/(cos a) = Hypotenuse/Adjacent =
CA/AB
Cosec a = 1/(sin a) = Hypotenuse/Opposite
= CA/CB
cot a = 1/(tan a) = Adjacent/Opposite =
BA/CB
9. Note: Inverse trigonometric
functions are used to obtain an angle from
any of the angle’s trigonometric ratios.
Basically, inverses of the sine, cosine,
tangent, cotangent, secant, and cosecant
functions are represented as arcsine,
arccosine, arctangent, arc cotangent, arc
secant, and arc cosecant.