trigonometric functions of important angles help

Conditional Trigonometric Identities - 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 ex..

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. ..

- 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 ..

\ 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 ..

The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. 1. cos q = x. 2. sin q = y. 3. tan q = y/x. 4. sec q = 1/x. 5. cosec q = 1/y. 6. cot q = x/y. The six functions of q defined by the above equation are..

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..