The value of `(alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)(beta/alpha))i se q u a lto` `(alpha+beta)(alpha^2+beta^2)` (b) `(alpha+beta)(alpha^2-beta^2)` `(alpha+beta)(alpha^2+beta^2)` (d) none of these

The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)(beta/alpha))i s equal to

The value of alpha^(3)/2cosec^(2)(1/2tan^(-1)""alpha/beta)+beta^(3)/2sec^(2)(1/2tan^(-1)(beta/alpha)) is equal to

Prove that: (alpha^3)/2cos e c^2(1/2tan^(-1)(alpha/beta))+(beta^3)/2s e c^2(1/2tan^(-1)(beta/alpha))=(alpha+beta)(alpha^2+beta^2) .

Prove that: (alpha^3)/2cos e c^2(1/2tan^(-1)(alpha/beta))+(beta^3)/2s e c^2(1/2tan^(-1)(beta/alpha))=(alpha+beta)(alpha^2+beta^2) .

The value of (alpha^(3))/(2)csc^(2)((1)/(2)tan^(-1)(alpha)/(beta))+(beta^(3))/(2)sec^(2)((1)/(2)tan^(-1)((beta)/(alpha))) is equal to (alpha+beta)(alpha^(2)+beta^(2))(b)(alpha+beta)(alpha^(2)-beta^(2))(alpha+beta)(alpha^(2)+beta^(2))(d) none of these

Prove that: (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)beta/alpha)=(alpha+beta)(a^2+beta^2)dot

Prove that: (alpha^(3))/(2)csc^(2)((1)/(2)tan^(-1)(alpha)/(beta))+(beta^(2))/(2)sec^(2)((1)/(2)tan^(-1)(beta)/(alpha))=(alpha+beta)(a^(2)+beta^(2))

Prove that , tan(alpha+beta)tan(alpha-beta)=(sin^2alpha-sin^2beta)/(cos^2alpha-sin^2beta)

Prove that: tan(alpha+beta)tan(alpha-beta)=(sin^2 alpha-sin^2 beta)/(cos^2 alpha-sin^2 beta)

If sin (alpha + beta)=1, sin (alpha- beta)= (1)/(2) , then tan (alpha + 2beta) tan (2alpha + beta) =