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Ch 03 FINAL 02.01 - NCERT

VA mathematician knows how to solve a problem,he can not solve it. MILNE IntroductionThe word trigonometry is derived from the Greek words trigon and metron and it means measuring the sides ofa triangle . The subject was originally developed to solvegeometric problems involving triangles. It was studied bysea captains for navigation, surveyor to map out the newlands, by engineers and others. Currently, trigonometry isused in many areas such as the science of seismology,designing electric circuits, describing the state of an atom,predicting the heights of tides in the ocean, analysing amusical tone and in many other earlier classes, we have studied the trigonometricratios of acute angles as the ratio of the sides of a rightangled triangle.

52 MATHEMATICS 3.2.3 Relation between radian and real numbers Consider the unit circle with centre O. Let A be any point on the circle. Consider OA as initial side of an angle. Then the length of an arc of the circle will give the radian measure of the angle which the arc will subtend at the centre of the circle. Consider the line PAQ which is

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