trigonometric functions test

Trigonometric functions are sinx, cosx, tanx, etc. The graph of these functions have been done in class X..

Unit Circle - The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. Let q be any real number. Begin at A(1, 0) on the unit circle and measure along the circumference of arc length |l| units. If q > 0 measure the arc in the ant..

The Values of Trigonometric Functions of 90 o and 0 o are: cos90 o = 0, sin90 o = 1, tan90 o = Not defined, sec90 o = Not defined, cot90 o = 0, cosec90 o = 1, cos0 o = 1, sin0 o = 0, here cosec0 o and cot0 o are not defined, sec0 o = 1, tan0 o = ..

Values of Trigonometric Functions of 30 o , 45 o , 60 o and 90 o - Let OA be the revolving ray starting from A. Let OA take the new position OP so that Draw PM perpendicular to OX and produce it to Q. Draw O..

For x [-1, 1], if q is an angle whose sine is x, then we say that sine inverse x is q and write sin -1 x = q..

The figure shows the position of the variable point A along the circumference of the unit circle. When it is at P 1 , Q 1 , R and S making angle q with the x-axis ..

\ The Circular function of a real number q and the trigonometric function for the angle q c are same. The identities for circular functions of real numbers hold for trigonometric functions of angle q..

When the integrand consists of trigonometric function, we use suitable trigonometric identities to simplify the function so that it can be integrated. Few identities are given below for ready reference. (1) (2) (3) (4) (5) (7) (..

In the previous sections 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 impo..