If `(pi)/(2)lt alpha lt (3pi)/(4)`, then `sqrt(2tan alpha+(1)/(cos^(2)alpha))` is equal to

If (3pi)/(4)lt alphaltpi , then sqrt(2cotalpha+(1)/(sin^(2)alpha)) is equal to

If (3pi)/4 lt alpha lt pi , then sqrt(2cotalpha+1/(sin^2alpha)) is equal to (a) 1-cotalpha (b) 1+cotalpha (c) -1+cotalpha (d) -1-cotalpha

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

If pi lt alpha lt 2pi then (1)/(Sin alpha - sqrt(cot^(2)alpha -cos^(2) alpha))=

If (pi)/(2) lt alpha lt (3pi)/(2) , the modulus and argument form of (1+cos2alpha)+isin2alpha is

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 (pi)/(2) lt alpha (3pi)/(2) , the modulus argument form of (1 + cos 2 alpha) + isin 2 alpha is

If 0

If tan alpha = b/a, a gt b gt 0 and if 0 lt alpha lt (pi)/(4) , then sqrt((a+b)/(a-b))- sqrt((a-b)/(a+b)) is equal to