`(1+sqrt(1+a))tanalpha=1+sqrt(1-a)=>sin4alpha=`

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

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

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

If alpha in [(pi)/(2),pi] then the value of sqrt(1+ sin alpha)-sqrt(1 - sin alpha) is equal to

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

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

If alpha in [pi/2,pi] , then the value of sqrt(1+sin alpha)- sqrt(1-sinalpha) is equal to:

If u=cot^(-1)sqrt(tanalpha)-tan^(-1)sqrt(tanalpha),t h e n tan(pi/4- u/2) is (a) sqrt(tanalpha) (b) sqrt(cotalpha) (c) tanalpha (d) cot alpha