if `1+cosalpha+cos^2alpha+.............+oo=2-sqrt2` where `alphaepsilon(0,pi)` then find the value of `alpha`

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), then alpha(0

If cos5 alpha=cos^(5)alpha, where alpha in(0,(pi)/(2)) then find the possible values of (sec^(2)alpha+cos ec^(2)alpha+cot^(2)alpha)

If cos 5 alpha=cos^5 alpha, where alpha in (0,pi/2) then find the possible values of (sec^2 alpha+cosec^2 alpha+cot^2 alpha).

If cos 5 alpha=cos^5 alpha, where alpha in (0,pi/2) then find the possible values of (sec^2 alpha+cosec^2 alpha+cot^2 alpha).

If 1+Cosalpha+Cos^(2)alpha+.....=2-sqrt(2) then alpha (0ltalphaltpi) is

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

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

if abs({:(sinalpha, cosbeta), (cosalpha, sinbeta):})=1/2 , where alpha, beta are acute angles, then find the value of alpha+beta . a) pi/3 b) (2pi)/3 c) pi/2 d) pi/4