Trigonometry section : The trigonometry means the science of measuring triangles. The word ‘trigonon’ means a triangle and the word ‘metron’ means measure. Hence,. In broader sense, it is that branch of mathematics which deals with the measurement of the triangle and which deals with the relations between the sides and the angles of a triangle. You have also learnt about six trigonometric ratios viz. sin Θ, cos Θ , tan Θ , cosec Θ sec Θ and cot Θ.
In this section, ask-math explains you relations between trigonometric ratios, it also explains you the concept of an identity and some important trigonometric identities. Here, ask-math also explains you the relations of complementary angles and specific trigonometric angles such as 0,30, 45,60 and 90 degrees.
Here, ask-math explains you some interesting practical applications of trigonometric ratios. Using it, we are going to solve the problems regarding heights and distances. Distance cannot be measured directly in surveying, astronomy and navigation etc. so method of trigonometric ratios is very useful in measuring such distances. This method can also me used to determine height of a tower, hill, width of a river , distance between two celestial objects etc. Tri-gonometry covers topics like Tri-gonometry for specific angles, Complementary angles in Tri-gonometry. In tri-gonometry for specific angles such as 00,300,450,600,900 and 1800. As these values are fixed. For these angles we don't need to use calculator.
Trigonometric ratios : Hipparchus a Greek mathematician studied relationships however large or small measure. The three most used ratio to solve a right angled triangle are the Sine(sin), Cosine(cos) and the Tangent(tan) which are known as trigonometric ratios.