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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.
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
. As these values are fixed. For these angles we don't need to use calculator.
Tri-gonometry– Table of Contents
Introduction of tri-gonometry In this section ask-math explains you where and how to use tri-gonometry.
Trigonometric ratios and their Relation It gives a relation between sine, cosecant, tangent, secant ,cosecant and cotangent.
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.
Specific angles in tri-gonometry The specific angles are 0,30,45,60,90 and 180.
Complementary angles in Trigonometry When two angles add up to 900 are called complementary angles.
Trigonometric Equations sin2θ + cos2θ= 1 like this there are many trigonometric equations.
Angle of elevation
Angle of depression