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Q.

Which of the following quantities is negative?

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a

TanCos1(Cos5)

b

CosTan1(Tan4)

c

CotSin1(Sin4)

d

SinCot1(Cot4)

answer is D.

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Detailed Solution

CosTan1(Tan4)=CosTan1(Tan(4π))=Cos(π4)=Cos4>0SinCot1(Cot(4π))=Sin(4π)=Sin4>0TanCos1(Cot(4π))=Tan(2π5)=Tan5>0CotSin1(Sin(π4))=Cot(π4)=Cot4<0

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