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CBSE Class 12 Math 2012 Solved Paper

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Question : 7
Total: 29
Write the principal value of cos−1(
1
2
) - 2 sin−1(
1
2
)
Solution:  
Principal value of cos−1(
1
2
) =
Ï€
3
Principal value of sin−1(
1
2
) = −
Ï€
6
Hence principal value of cos−1(
1
2
) - 2 sin−1(
1
2
)
=
Ï€
3
−2(−
Ï€
6
)
=
2Ï€
3
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