If `0 lt alpha lt (pi)/(3)`, then prove that `alpha (sec alpha) lt (2pi)/(3).`

If 0 lt alpha lt (pi)/(6) then alpha(cosec alpha) is

If 0 lt alpha lt beta lt (pi)/(2) then

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If tan alpha =2 and 0 lt alpha lt (pi)/(2) then prove that x =a, pi +alpha are the solution of the equation (tan(2alpha-x))/(tan (2alpha+x))=11 that lies between 0 and 2pi

If 0 lt alpha lt pi/2 then show that tanalpha+cotgtsinalpha+cosalpha

If -(pi)/2 lt alpha lt (pi)/2 then prove that tan^(-1)((3sin 2 alpha)/(5+3 cos alpha))+tan^(-1)((tan alpha)/4)=

If 0 lt alpha lt pi/2 , then sqrt(2cotalpha+1/(sin^2alpha)) is equal to

If 0 lt alpha lt beta lt (pi)/(2) , prove that, tan alpha-tan beta lt alpha-beta .