`sin^(2)82(1^(0))/(2)-sin^(2)22(1^(0))/(2)`

If sin^(-1)((2a)/(1+a^(2)))+sin^(-1)((2b)/(1+b^(2)))= 2cot^(-1)((1)/(x)) , then x is equal to [AA a, b in (0, 1)]

If f(x) = {{:(((pi)/(2)-sin^(-1)(1-{x}^(2))sin^(-1)(1-{x}))/(sqrt(2) ({x} - {x}^(3)))",",x gt 0),(k",",x = 0),((A sin^(-1)(1-{x})cos^(-1)(1-{x}))/(sqrt(2{x})(1-{x}))",",x lt 0):} is continuous at x = 0, then the value of sin^(2) k + cos^(2) ((Api)/(sqrt(2))) , is..... (where {.} denotes fractional part of x).

Evaluate : sin^2 (15^0 +A) - sin^2 (15^0 -A)

The value of expression (2sin^2 91^0-1)(2sin^2 92^0-1)(2sin^2 180^0-1) is equal to 0 (b) 1 (c) 2^(90) (d) 2^(90)-90

The value of expression (2sin^2 91^0-1)(2sin^2 92^0-1)...(2sin^2 180^0-1) is equal to 0 (b) 1 (c) 2^(90) (d) 2^(90)-90

Evaluate lim_(xto0) {1^(1//sin^(2)x)+2^(1//sin^(2)x)+...+n^(1//sin^(2)x)}^(sin^(2)x) .

The value of lim_(xrarr0^(+))((1-cos(sin^(2)x))/(x^(2)))^((log_(e)(1-2x^(2)))/(sin^(2)x)) is

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If sin^(-1)(2xsqrt(1-x^(2)))-2 sin^(-1) x=0 then x belongs to the interval

Evaluate: ("lim")_(nvec0)(1^(1//sin^2x)+2^(1//(sin^2x))++n^(1//sin^2x))^(sin^2x)