Question

The value of
`\sin ^(-1)\left((√(3))/(2)\right)-\sin ^(-1)\left((1)/(2)\right)` is​

Answer 1

`\displaystyle (\pi)/(6)`

Step-by-step explanation:

According to the unit circle,
`\displaystyle (\pi)/(3)` and
`\displaystyle (\pi)/(6)` are the radian measures you are looking for because all y-coordinates are associated with the sine function, so when evaluating, you will arrive at this:

`\displaystyle \boxed{(\pi)/(3)} = (\pi)/(3) - (\pi)/(6)`

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