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Solve sin^(-1)x+sin^(-1)2x=pi/3dot...

Solve `sin^(-1)x+sin^(-1)2x=pi/3dot`

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To solve the equation \( \sin^{-1} x + \sin^{-1} 2x = \frac{\pi}{3} \), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \sin^{-1} x + \sin^{-1} 2x = \frac{\pi}{3} \] From this, we can express \( \sin^{-1} 2x \) in terms of \( \sin^{-1} x \): ...
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Knowledge Check

  • If sin^(-1)x + sin^(-1) 2x = pi//3 , then x=

    A
    `sqrt((3//7))`
    B
    `(1//2)sqrt((3//7))`
    C
    `-sqrt((3//7))`
    D
    `-(1//2)sqrt((3//7))`

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