sin⁻¹(sin 7π/6) is.......,Select Proper option from the given options.
(a) π/6
(b) 5π/6
(c) -π/6
(d) 7π/6
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ans is option -π/6 bcoj in third coordinate sin value is negetive
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Answer:
-π/6
Step-by-step explanation:
We have to find the value of the given function Sin⁻¹(Sin 7π/6).
Let us assume that, y= Sin⁻¹(Sin 7π/6)
⇒ Sin y = Sin(7π/6) = Sin (π + π/6) = -Sin π/6 =-1/2= Sin (-π/6)
Here, 7π/6 lies in the third quadrant where Sin value is negative.
Therefore, y must be equal to -π/6. (Answer)
{Since Sin (-x) =- Sin x.}
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