Let (sqrt(2)sin alpha)/sqrt(1+cos 2alpha)=1/7 and sqrt((1-cos2 beta)/2)=1/sqrt(10) where alpha,b...

If sqrt2(sin alpha)/(sqrt(1+cos2 alpha))=1/7 and sqrt((1-cos2beta)/2)=1/(sqrt(10)) alpha, beta in (0, pi/2) then tan (alpha + 2 beta) is equal to _________

If (sqrt(2)cos alpha)/sqrt(1-cos2 alpha)=1/7 and sqrt((1+cos 2 beta)/2)=1/sqrt10,alpha,beta in (pi/2,pi) , then tan (2 alpha - beta) is equal to ........

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

Sum the series: sqrt(1+cos alpha)+sqrt(1+cos 2alpha)+sqrt(1+cos 3alpha) +.......to n terms, where 0ltalphaltpi

0

If sin alpha=(1)/(sqrt(10)) and sin beta=(1)/(sqrt(5)) then prove that alpha+beta=(pi)/(4)

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

"Let "e^(y)=(sqrt(1+alpha)+sqrt(1-alpha))/(sqrt(1+alpha)-sqrt(1-alpha)) and "tan"(x)/(2)=sqrt((1-alpha)/(1+alpha)),alpha in [-1, 0]cup(0,1]." Then "((dy)/(dx))_(x=(pi)/(3))=

If sin alpha=1/2 and cos beta=1/2 then alpha+beta=

If pi