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Trigonometry
is that branch of mathematics which deals with the measurement of sides and angles of triangles. The word, trigonometry is derived from Greek, which means the measure of triangles. This subject was originally developed to solve problems in astronomy and geometry. In recent tim..
Graphs
In algebra we found that the graph of algebraic functions helped greatly in studying the properties of the function. For the same reason, we shall study the graph of trigonometric functions. In plotting the graph of any trigonometric function the angle may be regarded as measure..
Graphs
In plotting the graph of any trigonometric function the angle may be regarded as measured either in radians or in degrees. If a trigonometric function is combined with an algebraic function it is customary to assume that the angle is measure in radian..
Introduction
When calculating sides or angles of right angled triangles, it is easiest to use the appropriate trigonometric relation. Finding the value of trigonometric ratios from the tables is learnt easily. Nowadays of course calculators are able to give accurate values for any degree of tan, sin..
Right Angled Triangles Index
Introduction - When calculating sides or angles of right angled triangles, it is easiest to use the appropriate trigonometric relation. Finding the value of trigonometric ratios from the tables is learnt easily. Nowadays of course calculators are able to give accurate values for any degree of tan, ..
Solution of triangles
We have studied that a triangle has six parts or six elements viz three sides and three angles. From geometry, we know that when any three elements are given of which necessarily a side is given, the triangle is completely determined i.e, remaining three elements can be determined. The pr..
Case 4:
When two sides b, c and an angle B opposite to one of the given sides are given. log sin C = log c + log B - log b which determines C. The equation (i) in general leads to two solutions say C 1 and C 2 (say such that C 1 + C 2 = 180), suppose C 1 is acute. Corresponding to C 1 and C 2 , w..
Definition
) Draw PM and QN perpendicular to x-axis. In D OMP, we have From geometry in D MOP, Again in D QON, OQ = 1 = radius of unit circl..
Differentiation by Substitution
Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily.Differentiation of certain functions seem to be very difficult, but by suitably substituting t..
Integration by parts
In words: Integral of the product of two functions If the integrand is the product of two functions of different types then their order is determined by the word ILATE where I = Inverse trigonometric L = Logarithmic A = Algebraic, T = Trigonometric, E = Exponential In the integra..
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