trigonometry and relative velocities

From the above observation, we find (i) sin A = cos B where A + B = 90 o \ Sine of an angle = Cosine of its complement sin A = cos (90 - A) o sin 40 o = cos (90 - 40) o = cos 50 o (ii) = tan A (iii) By Pythagoras theorem a 2 + b 2 = c 2 \ sin 2 A + cos 2 A = 1 These..

Let a ray revolve about its end point O and generates a circle of radius r. Then the radian measure of the angle formed by one complete revolution of the revolving ray \ 2 p = 360 o p = 180 o ..

In Greek 'Trigonon' means a triangle. 'Metron' means a measure. The combination of these two words gives us the word 'Trigonometry'. Trigonometry is the branch of mathematics that deals with the relations between the sides and angles of triangles. In our study we will ..

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 o..

In the above topics many identities have been discussed. They are true for all values of the angles for which trigonometric functions are defined. In this section we prove identities, where a certain relationship exists among the angles considered. Many interesting and important identit..

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 degre..

To solve a triangle having given two angles and a side. Let the given parts be denoted by B, C, a, then the third angle A can be found from the relation. Similarly, c can be found from the equation. log c = log a + log sin C - log sin..

Grade measure (Centesimal system or French system) The principal unit of this system is grade(g) which is one hundreds part of right angle. one grade = 100 minutes 1 minutes = 100 seconds 1 right angle = 100 grades (100 g ) 1 g = 100 minutes (100') 1' = 100 seconds (100") The attemp..

Grade measure (Centesimal system or French system) - Grade measure (Centesimal system or French system) The principal unit of this system is grade(g) which is one hundreds part of right angle. one grade = 100 minutes 1 minutes = 100 seconds 1 right angle = 100 grades (100 g ) 1 g = 100 minutes (100..

In Greek 'Trigonon' means a triangle. 'Metron' means a measure. The combination of these two words gives us the word 'Trigonometry'. Trigonometry is the branch of mathematics that deals with the relations between the sides and angles of triangles . In our study ..