NCERT Class 12-Mathematics: Chapter –2 Inverse Trigonometric Function Part 8

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Question 41:

The value of is

(A)

(B)

(C)

(D)

Answer:

(B) Is the correct answer.

2.3 EXERCISE

Question 1:

Find the value of

Answer:

We have:

[As we know that the range of the principal value branch of and .]

Hence, the value of

Question 2:

Evaluate

Answer:

Let , then

We know that the range of the principal value branch of and

SO,

Therefore, value of is

Question 3:

Prove that

Answer:

LHS

Question 4:

Find the value of .

Answer:

We have

[As we know that the range of the principal value branch of is ]

Hence, the value of