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Find the value of sin^(-1)(sin(3pi)/5)....

Find the value of `sin^(-1)(sin(3pi)/5)`.

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To find the value of \( \sin^{-1}(\sin(3\pi/5)) \), we can follow these steps: ### Step 1: Determine the value of \( 3\pi/5 \) First, we need to evaluate \( 3\pi/5 \). This angle is in the second quadrant (since \( \pi/2 < 3\pi/5 < \pi \)). ### Step 2: Use the property of sine in the second quadrant In the second quadrant, the sine function is positive. The sine of an angle in the second quadrant can be expressed in terms of its reference angle. The reference angle for \( 3\pi/5 \) is given by: \[ ...
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Knowledge Check

  • Write the value of sin^(-1) ( sin. ( 3pi)/5) .

    A
    `(2pi)/5`
    B
    `(2pi)`
    C
    `(pi)/5`
    D
    None of these
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