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Trigonometry is the study of relation of triangles. It is a study that is included from basic to advance study of mathematics. Therefore we provide help for all grades in this subject and we have special tutors for higher grade help. Also we provide help for college trigonometry.
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With trigonometry we can find the height of a building or the width of a river without actually climbing or crossing. Certain basic definitions are necessary to further develop this subject. The ratios of two sides of a triangle are taken. There are six possible combinations. Each ratio is given a special name.
In this subject we usually use the Greek letters.
(i)(Alpha) (ii) b (Beta) (iii) q (Theta)
(iv) g (Gamma) (v) f (Phi) (vi) l (Lamda)
and so on to indicate the measure of an angle.
Let us call as q.
The side opposite to q is the side BC.
The side adjacent to q is the side AB.
The hypotenuse of the DABC is the side AC.
Now, let us write down the trigonometrical ratios with the help of the above triangles:
(i) Sine q: It is defined as the ratio of the side opposite to q and the hypotenuse.
In short we write sin
(ii) Cosine q: It is defined as the ratio of an adjacent side to q and the hypotenuse,
(iii) Tangent q: It is defined as the ratio of the side opposite to q and the adjacent side,
Similarly three more ratios can be obtained by taking the reciprocals of .
(iv) Cosecant q is the reciprocal of sin
It is written as cosec q ,
(v) Secant q is the reciprocal of cos q.
It is written as sec q,
(vi) Cotangent q is the reciprocal of tan q.
It is written as cot q,
(i) Sin q means a particular ratio. It is not sin multiplied by q.
(ii) For trigonometrical ratios, short form T-ratios will be used.
(iii) In right angled triangles T-ratios are obtained only for acute angles.
|More topics in Trigonometry|
|Trigonometry Questions||Napiers Analogy|
|Trigonometry Formulas||Trigonometric Ratios|
|Sine and Cosine||Applications of Trigonometry|
|De Moivre's Theorem||Polar Form of Complex Numbers|
|Trigonometric Form of Complex Numbers||Circular Functions|
|Law of Cosines||Sine Rule|
|Law of Sines||Trigonometric Functions|
|Inverse Trigonometric Functions||Trigonometric Graphs|
|Hyperbolic Function||Trigonometric Tables|
|Periodic Function||Projection Formula|
|Trigonometric Equations||Trigonometry Word Problems|
|Trigonometry Homework Help||Law of Tangents|