NCERT Class 12-Mathematics: Chapter –2 Inverse Trigonometric Function Part 5

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Question 24:

The value of is

(A)

(B)

(C)

(D)

Answer:

(D) Is the correct answer.

Question 25:

The principal value of the expression is

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer.

Question 26:

The value of is

(A)

(B)

(C)

(D)

Answer

(D) Is the correct answer.

Let , then

Question 27:

If for some , then the value of is

(A)

(B)

(C)

(D)

Answer:

(B) Is the correct answer.

We know . Therefore

Question 28:

The domain of is

(A)

(B)

(C)

(D)

Answer:

(C) Is the correct answer.

Let .

Now which gives

Question 29:

The principal value of is

(A)

(B)

(C)

(D)

Answer:

(B) Is the correct answer.