trigonometric identities and conditional equations

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 int..

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..

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

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 and AB = c. (1..

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) (..

Summary - sin A = cos (90 o - A) tan A . tan (90 o - A) = 1 sin 2 A + cos 2 A = 1 1 + tan 2 A = sec 2 A 1 + cot 2 A = cosec 2..

- 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 the arc AP = P( q ) are one and..

A conditional sentence is about the connection between two things, two events etc. It expresses the idea that one thing follows from another, or depends on another: The meaning of a conditional sentence depends on the tenses of the verbs within ..

There are some conditions associated with the process of combustion. The substance to be burnt must be combustible (the substance must catch fire easily). Wood, paper, coal, coke, hydrogen, liquified petroleum gas, natural gas, petrol, kerosene, diesel, alcohol, ether etc. are some of the..

Temerature Pressure Catalyst Promotor 450-500 C 152000-684000 mm of Hg Iron Molybdenum The reaction in Habers process is exothermic and so external heating is not required once the reaction starts. Lowering the temperature to 450 o - 500 o C favours the reaction, bu..