[" If "1+cos alpha+cos^(2)alpha+......oo=2-sqrt(2)," then "alpha,(0

If 1+cos alpha+cos^(2)alpha+...=2-sqrt(2), then alpha(0

if 1+cos alpha+cos^(2)alpha+..........+oo=2-sqrt(2) where alpha varepsilon(0,pi) then find the value of alpha

If 1+cos alpha+cos ^(2) alpha+….=2-sqrt(2) , thet alpha(0 lt alpha lt pi) is

If 1 + cos alpha + cos^(2) alpha + ….oo= 2- sqrt2 then find the value of alpha. (0 lt alpha lt pi)

If 0 < alpha < pi/6 and sin alpha + cos alpha =sqrt(7 )/2, then tan alpha/2 is equal to

If 4sin alpha cos alpha-8sin^(3)alpha cos alpha=(sqrt(3))/(2) and 8cos^(4)alpha-8cos^(2)alpha+1=(-1)/(2), where alpha in(0,(pi)/(2)) Then the value of log_(cos((a)/(2)))((sin alpha+cos alpha)/(sqrt(2))) is equal to

If sin alpha + cos alpha = sqrt2 cos alpha,"show that",tan 2 alpha = 1

If n is a positive integer, then the value of (cos alpha cos 2 alpha cos 2 ^(2) alpha ….cos 2 ^(n-1)alpha) is-

If sin alpha+cos alpha=sqrt(2)cos alpha then show that tan2 alpha=1