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need solution for RD Sharma maths class 12 chapter Inverse Trignometric Functions exercise 3.7 question 2 sub question (v)

Answers (1)

Answer:   3

Hint: The principal value branch of function \cos ^{-1} is \left [ 0,\pi \right ]
Given: \cos ^{-1}(\cos 3)

Explanation:

We know that

            \cos ^{-1}(\cos 3)=3,3 \in[0, \pi] \quad\left[\cos ^{-1}(\cos \theta)=\theta \text { if } 0 \leq \theta \leq \pi\right]

Hence, the answer is \cos ^{-1}(\cos 3)=3

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