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The principal Trigonometric function is Sine(Sin).
It has a complementary function Cosine (Cos).
Bases on these two functions, are further trig. functions. they are.
Tangent(Tan) = Sin /Cos
Cosecant(CSC) = 1/Sin
Secant (SEC) = 1/Cos
Cotangent(COT) = Cos/Sin
The word 'Sine' comes from Latin , and means 'curve'. Initially you learn it between 0 - 90 degrees. It is a continuous 'wave', from infinity to infinity. .
The Sin/Cos functions only range from -1 to 1 through '0'.
The Tan function ranges from negative infinity to positive infinity, through '0'.
For a triangle inscribed in a circle.
At the circles centre, the radius may be '1' unit. If the radius is angles at 30 degrees from the horizontal(x) axis, then the vertical (opposite) lines perpendicular height of the triangle is exactly '1/2' ( 0.5), compared to the radius.
Hence the Sin( 30 degrees) is opposite / radius(hypotenuse) = (1/2)/1 = 1/2
All the othesr trig. functional answer are based on moving the radius from horizontal to vertical. with in the described circle. This is why it produces , such 'horrible' decimal figures.
Have a look in Castle's Four Figures Tables, rather than using a pocket calculator, and also graphs of the Sine/Cosine and Tangent curves.
What else can I help you with?
Topics need for trigonometry?
There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.
What is the study of the meaurement of triangles and of trigonometric functions and their applications?
It is trigonometry.
Uses of six trigonometry functions?
The trigonometric functions give ratios defined by an angle. Whenever you have an angle and a side in right triangle, you can find all the other angles and sides using the six trigonometric functions and their inverses. The link below demonstrates the relationship between functions.
Which trigonometric function is positive in the third quadrant?
The tangent and cotangent functions.
What are the trigonometric function of an acute angle?
The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).
What are the types of trigonometric functions?
There are three types of trigonometric functions, they are: 1- Plane Trigonometric Functions 2- Inverse Trigonometric Functions and 3- Hyperbolic Trigonometric Functions
What is the difficulties of trigonometric function of an angles?
TRIGONOMETRIC FUNCTIONS OF ANY ANGLE
How do you solve easy trigonometric functions of angle?
With ease, I suppose. The question depends on what you consider easy trigonometric functions.
Topics need for trigonometry?
There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.
How can you use inverse trigonometric functions?
You can use them to find the sides and angles of a right triangle... just like regular trigonometric functions
What do trigonometric functions have in common?
Vectors.
Where can one find a list of trigonometric identities?
Trigonometric identities involve certain functions of one or more angles. These identities are useful whenever expressions involving trigonometric functions need to be simplified.
What is a sentence using the word trigonometric?
The sine and cosine are both trigonometric functions. Trigonometric calculations are used in many branches of engineering.
Is all trigonometric functions are periodic?
Yes.
Are all trigonometric functions periodic?
yes.
Who invented trigonometric functions?
Hipparchus, Menelaus, Ptolomy
What are the six trigonometric functions for 45 degrees?
Sin(45 ) = 1/Sqrt(2) = 0.7071.... Cos(45) = 1/Sqrt(2) = 0.7071... Tan(45) = 0.7071.../0.7071... Cancel down = '1' Cosecant(45) = 1/Sin(45) = 1/ [1/sqrt(2) = sqrt(2) = 1.4142.... Secant (45) = 1/Cos(45) = 1/ [1/sqrt(2) = sqrt(2) = 1.4142.... Cotangent = Cos/Sin = 0.7071... / 0.7071... = 1.
