tan^-1 [ sqrt (1+x^2) + sqrt(1-x^2) / sqrt (1+x^2) - sqrt(1-x^2) | Maths Class 12 TERM 1

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If `tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha,` then prove that `x^2=s... If `tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha,` then prove that `x^2=s...
if `tan^-1 {(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha` then `x^2` is: if `tan^-1 {(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha` then `x^2` is:
Differentiate `tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}` with respect to `c... Differentiate `tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}` with respect to `c...
Prove that `tan^(-1)[(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))]=pi/4+1/2cos^(-1)x^2` Prove that `tan^(-1)[(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))]=pi/4+1/2cos^(-1)x^2`
`tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))` `tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))`
Q33 | If y = tan^(-1)⁡((√(1+x^2)+√(1-x^2))/(√(1+x^2)-√(1-x^2))) find dy/dx Q33 | If y = tan^(-1)⁡((√(1+x^2)+√(1-x^2))/(√(1+x^2)-√(1-x^2))) find dy/dx
If `"y"="tan"^(-1)"\ "[(sqrt(1+"x"^2-sqrt(1-"x"^2)))/(sqrt(1+"x"^2+)"\ "sqrt("\ "1-"x"^2)),]"\ f i n If `"y"="tan"^(-1)"\ "[(sqrt(1+"x"^2-sqrt(1-"x"^2)))/(sqrt(1+"x"^2+)"\ "sqrt("\ "1-"x"^2)),]"\ f i n
Q32 | If y = tan^(-1)⁡((√(1+x^2 )-√(1-x^2))/(√(1+x^2)+√(1-x^2))) find dy/dx Q32 | If y = tan^(-1)⁡((√(1+x^2 )-√(1-x^2))/(√(1+x^2)+√(1-x^2))) find dy/dx