BITSAT Mathematics Trigonometric Functions MCQs

Question: The number of roots of equation 

• a) 4
• b) 5
• c) 6
• d) 8

Answer: 6

Question: If A and B are positive acute angles satisfying, Then the value of A + 2B is equal to :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If sin θ1 + sin θ2 + sin θ3 = 3 , then cos θ1 + cos θ2 + cos θ3 =

• a) 0
• b) 1
• c) 2
• d) 3

Answer: 0

Question: If tan (cot x) = cot (tan x), then sin 2x is equal to :

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The general solution of the equation sin 2x + 2sin x +2 cos x+ 1 = 0 is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If  then the value of (m² – n²) sin ²B is

• a) 1 + n²
• b) 1 – n²
• c) n²
• d) – n²

Answer: 1 – n²

Question: The period of tan 3θ is

• a) π
• b) 3π/4
• c) π/2
• d) None of these

Answer: None of these

Question: If 5 tan θ = 4, then 

• a) 0
• b) 1
• c) 1/6
• d) 6

Answer: 1/6

Question:

• a)

  

• b) 0
• c)

  

• d)

  

Answer:

Question: The solution of (2 cos x – 1) (3 + 2 cos x) = 0 in the interval 

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: If x sin³ θ + ycos³ θ = sin θcos θ and x sinθ = ycos θ , then x² + y² =

• a) 1
• b) 2
• c) 0
• d) None of these

Answer: 1

Question: If cos ^7θ=cosq - sin ^4θ, then the general value of θ is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  If sin 2θ + sin2Φ = 1/2, cos2θ +cos2Φ= 3/2 then cos² (θ – Φ) is equal to

• a) 3/8
• b) 5/8
• c) 3/4
• d) 5/4

Answer: 5/8

Question: If, tan  and tan  , then find the value of A + B

• a) π
• b)

  

• c)

  

• d)

  

Answer:

Question: If sin θ=  and tan θ = 1/ √3 then θ =

• a) 2nπ + π/6
• b) 2nπ +11π/6
• c) 2nπ +7π/6
• d) 2nπ + π/4

Answer: 2nπ +7π/6

Question: 

is equal to

• a) sinθ – cos θ
• b) sinθ + cosθ
• c) tanθ + cotθ
• d) tanθ – cot θ

Answer: sinθ + cosθ

Question: If 12cot² θ - 31cosecθ + 32 = 0, then the value of sin θ is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: tan 20° + tan 40° + √3 tan 20° tan 40° is equal to

• a) √3 / 2
• b) √3 / 4
• c) √3
• d) 1

Answer: √3

Question: If then value of  is

• a) 

  

• b) y
• c) 2y
• d)

  

Answer: y

Question: Period of  is

• a) 2π
• b) π
• c)

  

• d)

  

Answer:

Question: The general solution of 8tan²  + sec x is

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: The value of √2 (cos 15° - sin15°) is equal to

• a) √3
• b) √2
• c) 1
• d) 2

Answer: 1

Question: The value of tan A + tan(60° + A) - tan(60° - A) is

• a) tan 3A
• b) 2 tan 3A
• c) 3 tan 3A
• d) None of these

Answer: 3 tan 3A

Question: If tan θ = , then the general solution of the equation

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  The number of solutions of cos 2θ = sin θ in (0, 2π) is

• a) 1
• b) 2
• c) 3
• d) 4

Answer: 3

Question: If A = cos² θ+sin⁴ θ, then for all real values of θ

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If sin θ+ cosecθ = 2, then sin2 θ + cosec 2θ is equal to

• a) 1
• b) 4
• c) 2
• d) None of these

Answer: 2

Question: If cot x – cos x cot x = 1 – cos x then general solution of this equation is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If sec   then 

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If 2θ cosθ = xsin θ and 2xsecθ- y cosec θ = 3, then x² + 4y² =

• a) 4
• b) -4
• c)

  

• d) None of these

Answer: 4