यदि ` y = (sin ^( - 1 ) x ) ^ 2 ` हो, तो सिद्ध कीजिये कि -
` ( 1 - x ^ 2 ) y _ 2 - x y _ 1 - 2 = 0 `

If y = sin^-1x , prove that (1-x^2)y_2 - x y_1= 0

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi show that, x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi, show that x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))

(sin ^ (- 1) x) ^ (2) + (sin ^ (- 1) y) ^ (2) +2 (sin ^ (- 1) x) (sin ^ (- 1) y) = pi ^ (2), then x ^ (2) + y ^ (2) is equal to

If x=sin(1/alogy) , show that (1-x^2)y_2-x\ y_1-a^2\ y=0 .

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi, Prove x sqrt (1-x ^ (2)) + y sqrt (1-y ^ (2) ) + z sqrt (1-z ^ (2)) = 2xyz

If y=(sin^(-1)x)^2 , prove that (1-x^2)y_2-x y_1-2=0 .

If y = (sin^(-1) x)/(sqrt(1-x^2)) show that (1-x^2) y_2 - 3xy_1 - y =0

If y=(sin^(-1)x)^2 ,prove that (1-x^2)y_2-x y_1-2=0.