Find the value of
cos(sec-1x+cosec-1x), x≧1

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answer is A.

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Detailed Solution

sec-1x=cos-1(1/x) ,
cos-1x= sin-1(1/x)
so ,cos-1(1/x)+sin-1(1/x)
cos-1(t) = sin-1(1/x)
Cos-1 (t)+sin-1 (t)= π/2
Here t = 1/x cos-1(1/x)+sin-1(1/x)
Hence the value of cos π/2
now , value of cos(π/2)=0
Hence the value of the given expression is 0.
Type- CBSE
Grade- 10
Subject- Mathematics
Chapter- Arithmetic progression

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