| Assertion [A]: \[{{\tan }^{-1}}\left( -x \right)=-{{\tan }^{-1}}x,\,x\in R\] |
| Reason [R]: \[{{\sec }^{-1}}\left( -x \right)=\pi -{{\sec }^{-1}}x,\,x\in R\] |
A) Both A and R are individually true and R is the correct explanation of A.
B) Both A and R are individually true and R is not the correct explanation of A.
C) 'A' is true but 'R' is false
D) 'A' is false but 'R' is true
E) Both A and R are false.
Correct Answer: C
Solution :
Here statement A is true and statement R is false as \[{{\sec }^{-1}}\left( -x \right)=\pi -{{\sec }^{-1}}x,\,x\in R-\left( -1,\,\,1 \right)\] \[\therefore \]Option [C] is the correct answer.
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