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CBSE Class 12 Maths 2010 Solved Paper

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Question : 3 of 29
 
Marks: +1, -0
What is the principal value of cos−1(−32) ?
Solution:
Let cos−1(−32) = x
⇒ cos x = - 32
⇒ cos x = - cos (π6)
⇒ cos x = cos (π−π6)
⇒ cos x = cos (5π6)
⇒ x = 5π6
Therefore, the principal value of cos−1(−32) is 5π6
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