NTSE Mathematics Trigonometry MCQs Set 02

Question: If 

then lob_b (a) is        

• a) 2
• b) -1
• c)

  

• d)

  

Answer:

Question: The difference between two angles is 190 and their sum is

grades. Find the greater angle. 

• a) 63°
• b) 350
• c) 270  
• d) 540

Answer: 540

Question: If  α and  β are angles in the first quadrant, 

then using the formula sin (A + B) = sin A cos B + cos A sin B, one can find the value of (α+2β) to be

• a) 00
• b) 450 
• c) 600
• d) 900

Answer: 450 

Question: Minimum value of 1 + 2 sinx + 3 cos2x is 

• a) 0
• b) -1
• c) 1
• d)

  

Answer: -1

Question: If 0 < θ < 90 and    then the value of  θ is 

• a) 300 
• b) 450
• c) 600 
• d) None of these

Answer: 300 

Question: Given 3 sin b + 5 cos b = 5, then the value of (3 cos b - 5 sin b)2 is equal to

• a) 9
• b) 9/5
• c) 1/3
• d) 1/9

Answer: 9

Question: The gaggles in one regular polygon is to that is another as 3 : 2, also the number of sides in the first twice that in the second, then how many sides do the polygons have

• a) 4 & 2
• b) 6 & 3
• c) 8 & 4
• d) None of these

Answer: 8 & 4

Question: Value of sin250 + sin2100 + sin2 100 + sin2 + 150 + ........ sin2 850 + sin2900 is

• a) 3
• b) 9
• c)

  

• d) None of these

Answer:

Question: Value of

 is

• a) 3
• b) 2
• c) 3 + 2  2√2 
• d) √2

Answer: 3 + 2  2√2 

Question: If sin α sin β - cos α cos β+ 1 = 0, then the value of 1 + cot α tan  β is

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

Answer: None of these

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

Question: If than 250 = x, then

is equal to

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Solve the following  

• a) 1/2
• b) -1/2
• c) 0
• d) 1

Answer: 1

Question: Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit radius. Then the product of the length s of the line segments A0A1,A0A2 & A0A4 is :

• a)

  

• b)

  

• c) 3
• d)

  

Answer: 3

Question: Which of the following number(s) is/are rational ?

• a) sin 150
• b) cos 150
• c) sin 150 cos 150
• d) sin 150 cos 750

Answer: sin 150 cos 150

Question: In an equilateral triangle, 3 coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. Age of the triangle is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The angles of a triangle are in A.P. and the number of degrees in the least is to the number of radians in the greatest as 60 to π° then the greatest angle in degree are

• a) 00 
• b) 450
• c) 600
• d) 900

Answer: 900

Question: If sec A + tan A = p, then the value of sin A is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If sec θ -tan θ = x and y = cosec θ - cot θ , then

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If sin x + sin2 x = 1, then the value of cos¹² x + 3 cos¹⁰ x + 3 cos8x + cos6x - 1 is

• a) -1
• b) 0
• c) 1
• d) 2

Answer: 0

Question: If tan4  θ + cot4  θ = X then

• a) X > 2     
• b) X ≥ 2  
• c) x > 4                   
• d) x ≥ 4

Answer: X ≥ 2