(DATE Please remember the following shortcomings, where the coz, district The consonant for is defined as a lower noun. i) (caseco-coto coso 1 + Cose

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(i) (1-costheta)/(1+costheta)=(Cosectheta-Cottheta)^2

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (i) (cosectheta-cottheta)^2=(1-costheta)/(1+costheta)

Prove the following identities,where the angles involved are acute angles for which the expressions are defined. (i) (cosectheta-cottheta)^(2)=(1-costheta)/(1+costheta)

Prove the following identities , where the angles involved are acute angles for which the expressions are defined. (i) ( cosec theta - cot theta ) ^ 2 = ( 1 - cos theta ) /( 1 + cos theta )

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(i) (csc theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : (cosA-sinA+1)/(cosA+sinA-1)=cosecA+cotA, using the identity coses^2A=1+cot^2A)

An atom is assumed to be spherical in shape and thus, the size of atom is generally in term of radius of the sphere and is called atomic radius. It is usually defined as the distance between the centre of the nucleus and outermost shell where electron or electrons are present. The exact measure of atomic radius is not easy due to following reasons : (a) The atom does not have well defined boundary. The propability of finding the electron is never zero even at large distance from the nucleus. (b) It is not distances from to get an isolated atom. The electron density around an atom is affected by the presence of neighbouring atoms, i.e., the size of the atom changes in going from one set of environment to another. (c ) The size of an atom is very small, of the order of abouit 1.2 Å , i.e., 1.2xx10^(-10)m . An estimate of the size of the atom can, however, be made by knowing the distance between the atoms in the combined state. The distance between the atoms, i.e., bond lengths are generally measured by the application of techniques such as X-ray diffraction, electron diffraction, infrared spectroscpy, nuclear magnetic resonance spectroscopy, etc. However, bond length change with different type of bonding. Three types of radius are commonly used, i.e., (a) Covalent radius (b) Crystal radius (c ) van der Waal's radius Which of the following set of ions have the same value of screening constant for the valence electron, calculated from Slater's rule?

For the following question, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows: Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. Statement I is true; Statement II is false Statement I is false; Statement II is true. Let a , b , c , p , q be the real numbers. Suppose alpha,beta are the roots of the equation x^2+2p x+q=0 and alpha,1/beta are the roots of the equation a x^2+2b x+c=0, where beta^2 !in {-1,0,1}dot Statement I (p^2-q)(b^2-a c)geq0 and Statement II b !in p a or c !in q adot