NDA Math Inverse Circular Functions

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Question : 14 of 25
 
Marks: +1, -0
Consider the following statements :
1. There exists θ∊(−
π
2
,
π
2
)
for which tan−1(tanθ)≠θ.
2. sin−1(
1
3
)
−sin−1(
1
5
)
=sin−1(
2√2(√3−1)
15
)

Which of the above statements is/are correct?
[NDA I 2016]
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