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

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Question 2:

Evaluate .

Answer:

Question 3:

Find the value of .

Answer:

Question 4:

Find the value of

Answer:

Question 5:

Evaluate .

Answer:

Since , .

Question 6:

Evaluate: .

Answer:

.

Question 7:

Evaluate:

Answer:

Question 8:

Prove that tate with reason whether the equality is valid for all values of .

Answer:

Let Then

Or,

So

The equality is valid for all values of since and are true for .

Question 9:

Find the value of

Answer:

Let where . So,

Which gives

Therefore,

Question 10:

Find value of and hence evaluate

Answer:

Let , then , where

Therefore,

Question 11:

Find the value of

Answer:

Let . Then

Now

Question 12:

Evaluate

Answer: