JEE Mathematics Trigonometric Functions MCQs Set E

Question: 30º 30' is equal to -

• a)

  

• b)

  

• c) 61º
• d) None of these

Answer:

Question: 50' is equal to -

• a)

  

• b)

  

• c) 1^g
• d) None of these

Answer:

Question: 70^g is equal to-

• a) 63º
• b) 62º
• c) 65º
• d) None of these

Answer: 63º

Question: 340º is equal to -

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Find the length of an arc of a circle of radius 5cm subtending a central angle measuring 15º.

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 3/2
• b) 1/2
• c) 1/4
• d) 3/4

Answer: 3/2

Question:

• a) 1 – 4 sin A sin B sin C
• b) 4 sin A sin B sin C
• c) 1 – 4 cos A cos B cos C
• d) 1 + 2 cos A cos B cos C

Answer: 1 – 4 sin A sin B sin C

Question: In any triangle ABC, sin A – cos B = cos C, then angle B is-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: tan 9° – tan27° – tan 63° + tan 81° is equals to -

• a) 4
• b) 1
• c) 0
• d) –1

Answer: 4

Question:

• a) All the above
• b)

  

• c)

  

• d)

  

Answer: All the above

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a) – 1
• b) 1
• c)

  

• d)

  

Answer: – 1

Question: sin 315º =

• a)

  

• b)

  

• c) 1/2
• d) None of these

Answer:

Question: cos 510º cos 330º + sin 390º cos 120º =

• a) – 1
• b) 2
• c) 0
• d)

  

Answer: – 1

Question:

• a) 1
• b) – 1
• c) 2
• d) 4

Answer: 1

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) cos y
• b) 1
• c) 0
• d) sin y

Answer: cos y

Question:

• a) 1
• b) 2
• c) 0
• d) –1

Answer: 1

More Questions..............................

Question:

• a) 1/8
• b) 1/2
• c)

  

• d)

  

Answer: 1/8

Question: The value of sin 20° sin 40° sin 60° sin 80° is -

• a) 3/16
• b) 3/8
• c) 1/8
• d) None of these

Answer: 3/16

Question:

• a) 1 and 2 are correct
• b) 1 and 3 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 2 are correct

Question:

• a) 1, 2 and 3 are correct
• b) 2 and 4 are correct
• c) 1 and 2 are correct
• d) 1 and 3 are correct

Answer: 1, 2 and 3 are correct

Question:

• a) 1 and 2 are correct
• b) 1 and 3 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 2 are correct

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

Find the value of sin 15°.

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

Find the value for cos 75° – cos 15°.

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 4sin A sin B sin C
• b) None of these
• c) 4sin A sin B cos C
• d) 4cos A sin B sin C

Answer: 4sin A sin B sin C

Question:

• a) tanA.tanB.tanC
• b) cotA.tanB.tanC
• c) tanA.cotB.tanC
• d) None of these

Answer: tanA.tanB.tanC

Question:

• a) 5
• b) 3
• c) 2
• d) 4

Answer: 5

Question:

• a)

  

• b)

  

• c)

  

• d) None

Answer:

Question:

• a) 4
• b) 2
• c) 3
• d) 1

Answer: 4

Question: cos 2A + cos 2B + cos 2C + 4 cos A cos B cos C = [A, B, C are the angles of triangle]

• a) –1
• b) 2
• c) 1
• d) –2

Answer: –1

Question: cos 2A + cos 2B – 2cos C = 1 – x sin A sin B cos C Find the value of x. [A, B, C are the angles of triangle]

• a) 4
• b) 2
• c) 3
• d) 1

Answer: 4

Question:

[A, B, C are the angles of triangle]

• a) 0
• b) 4
• c) 3
• d) 1

Answer: 0

Question:

[A, B, C are the angles of triangle]

• a) 1
• b) 3
• c) 4
• d) 0

Answer: 1

Question: cot B cot C + cot C cot A + cot A cot B = [A, B, C are the angles of triangle]

• a) 1
• b) 3
• c) 4
• d) 2

Answer: 1

Question:

Find the value of x. [A, B, C are the angles of triangle]

• a) 8
• b) 2
• c) 3
• d) 1

Answer: 8

Question: Find the sum of the series :

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Find the sum of n terms of the series

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question:

• a) 1/2
• b) 3
• c) 4
• d) 2

Answer: 1/2

Question:

• a) –1
• b) 1/2
• c) 4
• d) 2

Answer: –1

Question:

• a) 1/64
• b) 1/16
• c) 1/32
• d) 1/8

Answer: 1/64

Question:

• a) a₀
• b) 3a₀
• c) 2a₀
• d) None

Answer: a₀

Question: In a right angled triangle, acute angles A and B satisfy tan A + tan B + tan²A + tan²B + tan³A + tan³B = 70 find the angle A in radians.

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: In the above question, find the angle B in radians.

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  Choose the correct Identities

• a) 1, 2 and 3 are correct
• b) 2 and 4 are correct
• c) 1 and 2 are correct
• d) 1 and 3 are correct

Answer: 1, 2 and 3 are correct

Question: Choose the correct Identities :

• a) 1 and 2 are correct
• b) 1 and 3 are correct
• c) 1, 2 and 3 are correct
• d) 2 and 4 are correct

Answer: 1 and 2 are correct

Question:

Choose the correct options

• a) 2 and 4 are correct
• b) 1, 2 and 3 are correct
• c) 1 and 3 are correct
• d) 1 and 2 are correct

Answer: 2 and 4 are correct

Question: If 1 – sin 2x = cos x – sin x, then x is

• a)

  

• b)

  

• c)

  

• d) none of these

Answer:

Question: If sin x + cos x = 1 + sin x cos x, then x is

• a)

  

• b)

  

• c)

  

• d) none of these

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a) Statement -1 is True, Statement-2 is False.
• b) Statement -1 is False, Statement-2 is True.
• c) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• d) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Answer: Statement -1 is True, Statement-2 is False.