If `(1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) ` then `sin 4 alpha =

(1+sqrt(1+a))tan alpha=1+sqrt(1-a)rArr sin4 alpha=

cot^(1) sqrt(cos alpha) -tan^(-1) sqrt(cos alpha)= x then sin x

If sin h^(-1) ( sqrt8) + sin h^(-1) ( sqrt24) = alpha , then sin h = alpha

Sum: sqrt(1 + sin 2alpha) + sqrt(1 + sin 4alpha) + sqrt(1 + sin 6alpha) +... to 20 terms.

If u = cot^(-1)sqrt(tan alpha ) - tan ^(-1)sqrt(tan alpha) then tan (pi/4-u/2) is a) sqrt(tan alpha) b) sqrt(cot alpha) c) tan alpha d) cot alpha

If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) is equal to (a) sqrt(tan alpha) (b) sqrt(cos alpha) (c) tan alpha (d) cot alpha