Q.

The equation cos−1⁡α−θα−β=sin−1⁡θ−βα−β is valid for

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a

α > β and θ takes any value

b

α = θ = β

c

α > θ > β or α < θ < β

d

none of these.

answer is C.

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Detailed Solution

The given equation is valid if α−θα−β>0 and θ−βα−β>0⇒ Either α>θ>β or α<θ<β
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The equation cos−1⁡α−θα−β=sin−1⁡θ−βα−β is valid for