CBSE Class 12 Math 2022 Term I Solved Paper

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Question : 7
Total: 50
The principal value of cos−1(‌
1
2
)
+sin‌−1(−‌
1
√2
)
is
Explanation: cos−1(‌
1
2
)
‌
+sin‌−1(‌
−1
√2
)

‌=cos−1(cos‌
Ï€
3
)
−sin‌−1(‌
1
√2
)

‌=‌
Ï€
3
−sin‌−1(sin‌‌
Ï€
4
)

‌=‌
Ï€
3
−‌
Ï€
4
=‌
Ï€
12
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