NCERT Class 12-Mathematics: Chapter –2 Inverse Trigonometric Function Part 4

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Question 18:

Find the values of which satisfy the equation

Answer:

From the given equation, we have

Question 19:

Solve the equation

Answer:

From the given equation, we have

Squaring, we get

Note that is the only root of the equation as dose not satisfy it

Question 20:

Show that

Answer:

Objective Type Questions

Choose the Correct Answer from the Given Four Options in Each of the Examples 21 to 41

Question 21:

Which of the following corresponds to the principal value branch of tan–1?

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer.

Question 12:

The principal value branch of is

(A)

(B)

(C)

(D)

Answer:

(B) Is the correct answer.

Question 23:

One branch of other than the principal value branch corresponds to

(A)

(B)

(C)

(D)

Answer:

(D) Is the correct answer.

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