If sin -1 x + sin -1 y = π/2 , then x 2 is equal to 1) y 2 2)(1-y) 1/2 3) 1 – y 2 4) 0

Question

If sin ​-1 x + sin ​ ​-1 y = π/2 , then ​ x ​2 is equal to 1) y ​2 2)(1-y) ​1/2 3) 1 – y ​2 4) 0

Shahid · Answer

Dear Tushar , We Know that Sin -1 x + cos -1 x = /2 And Given is that Sin -1 x + Sin -1 y = /2 Therefore , we get that... Sin -1 y = cos -1 x Sin -1 y = Sin -1 ( ) Therefore y = On Squaring both sides . we get x ​2 = 1 – y ​2

ankit singh · Answer

his problem involves both differentiation as well as inverse trigonometric functions.

Now given that,

sin−1x+sin−1y=π2

∴sin−1x=π2−sin−1y

∴sin−1x=cos−1y

∴y=cossin−1x

∴dydx=−sinsin−1x.ddx(sin−1x)

∴dydx=−x1√1−x2

∴dydx=−x√1−x2.

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If sin -1 x + sin -1 y = π/2 , then x 2 is equal to 1) y 2 2)(1-y) 1/2 3) 1 – y 2 4) 0

If sin^-1 x + sin^-1 y = π/2,
then x² is equal to 1) y² 2)(1-y)^1/2 3) 1 – y² 4) 0

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If sin ​-1 x + sin ​ ​-1 y = π/2 , then ​ x ​2 is equal to 1) y ​2 2)(1-y) ​1/2 3) 1 – y ​2 4) 0

If sin​-1 x + sin​​-1 y = π/2, then ​x​2 is equal to 1) y​2 2)(1-y)​1/2 3) 1 – y​2 4) 0

2 Answers

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If sin -1 x + sin -1 y = π/2 , then x 2 is equal to 1) y 2 2)(1-y) 1/2 3) 1 – y 2 4) 0

If sin^-1 x + sin^-1 y = π/2,
then x² is equal to 1) y² 2)(1-y)^1/2 3) 1 – y² 4) 0