trigonometric functions of important angles

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. ..

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 ..

- Identical properties of circular functions and trigonometric functions. Let O be the origin. Let OA be the unit radius of the circle drawn with O as centre. Let OA trace an angle when OA takes the position OP. Then The tracing of the angle q and t..

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 ..

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..

Trigonometric Ratios of Multiple and Sub-multiple Angles - The following results have already been derived under Circular function..

T-ratios of standard angles - 0 o , 30 o , 45 o , 60 o and 90 o are called standard angles. These angles are called standard angles because it is possible to obtain simple mathematical ratios for these angles. The students are advised to learn the T..

Trigonometric ratios of Allied Angles - The following results were proved earlier: 1) sin(- q ) = - sin q , cos(- q ) = cos q , tan(- q ) = - tan q..

The following results were proved earlier: 1) sin(- q ) = - sin q , cos(- q ) = cos q , tan(- q ) = - tan q..