trigonometric identities tan

1. sin A = cos (90 o - A). 2. sin A / cos a = tan A. 3. tan A x tan (90 o - A) = 1. 4. sin 2 A + cos 2 A = 1. 5. 1 + tan 2 A = sec 2 A. 6. 1 + cot 2 A = cosec 2 A. Where 'A' is the angl..

1. sin A = cos (90 o - A) 2. 3. tan A x tan (90 o - A) = 1 4. sin 2 A + cos 2 A = 1 5. 1 + tan 2 A = sec 2 A 6. 1 + cot 2 A = cosec 2 A Let us prove the above identities. Let D ABC be a right-angled triangle with B = 90 o . Let BC = a, AC = b ..

Introduction - Let us recapitulate the trigonometric ratios (t-ratios). There are six t-ratios. D ABC is a right-angled triangle, B = 90 o . (i) In short, (ii) In shor..

Introduction - The trigonometric ratio's are: Sine, Cosine, Tangent, Cotangent, Secant, and Cosecan..

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 relat..

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 interestin..

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..

The following table shows the Trigonometric ratios of Allied Angles: - q 90- q 90 + q 180- q 180 + q 270- q 270 + q 2n P - q 2n P + q sin q -sin q cos q cos q sin q -sin q -cos q -cos q -sin q sin q cos q cos ..

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..