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State which of the statement is fals...

State which of the statement is false ?

A

the formula ` sec ^(-1) x + "cosec" ^(-1) x=(pi)/(2)` holds when `|x|ge 1.`

B

`sin ^(-1) cos tan ^(-1) sqrt(3)`represents an angle .

C

If ` cos ^(-1) (1/sqrt(5))= theta ` , then the value of `"cosec"^(-1) sqrt(5)` will be ` ((pi)/(2) - theta )`

D

If `sin ^(-1) x= theta ` , then the value of ` " cosec"^(-1) ((1)/(sqrt(1-x^(2))))` is also ` theta`

Text Solution

Verified by Experts

The correct Answer is:
D
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