NCERT Class 11-Math՚S: Chapter – 3 Trigonometric Functions Part 18 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 57:

If

(A)

(B)

(C)

(D)

Answer: (B)

Question 58:

If is equal to

(A)

(B)

(C)

(D) None

Answer: (B)

Question 59:

If for real values of , then

(A) is an acute angle

(B) is right angle

(C) is an obtuse angle

(D) No value of is possible

Fill in the blanks in Exercises 60 to 67:

Answer: (D)

Question 60:

The value of is ________.

Answer: (1)

Question 61:

If then the numerical value of is ________.

Answer:

Question 62:

If then ________.

Answer:

Question 63:

If , then

(i)

(ii)

Answer:

Question 64:

In a triangle ABC with the equation whose roots are tan A and tan B is ________.

Answer:

Question 65:

Answer:

Question 66:

Given lie in the interval ________.

Answer:

Question 67:

The maximum distance of a point on the graph of the function from axis is ________.

Answer:

In Each of the Exercises 68 to 75, State Whether the Statements is True or False? Also Give Justification

Question 68:

If then

Answer: True

Question 69:

The equality holds for some real value of A.

Answer: False

Question 70:

is greater than .

Answer: False

Question 71:

Answer: True

Question 72:

One value of which satisfies the equation lies between and .

Answer: False

Question 73:

If

Answer: True

Question 74:

If

Answer: True

Question 75:

If

Answer: True

Question 76:

In the following match each item given under the column to its correct answer given under the column :

Match the Column C1 to C2
(a)(i)
(b)(ii)
(c)(iii)
(d)(iv)

Answer:

(a) ⟷ (iv)

(b) ⟷ (i)

(c) ⟷ (ii)

(d) ⟷ (iii)