ECAT Pre Engineering MCQ Test With Answer for Chapter 16 Mathematics

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

• 69° A
• 66° B
• 60° C
• 63° D

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

• Angle A is obtuse A
• Angle A is acute B
• Angle A is right-angle C
• All of above D

The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

• I andII quadrants
  A
• II andIII quadrants B
• II andIVquadrants C
• none of these D

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

• 
  A
• 
  B
• 
  C
• 
  D

The smallest positive root of the equation tan x - x = 0 lies on

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

• 0 A
• 5 B
• 6 C
• 10 D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

• 
  A
• 
  B
• 
  C
• 
  D

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

• From an empty set A
• 1 B
• 2 C
• >2 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

One root of the equation cos x - x + 1/2 = 0 lies in the interval

• 
  A
• 
  B
• 
  C
• 
  D

The solution of the equation 3 tan²x = 1 is ____________

• 
  A
• 
  B
• 
  C
• none of these D

By expressing sin 125° in terms of trigonometrical ratios, answer will be

• sin 65° = 0.9128 A
• sin 55° = 0.8192 B
• sin 70° = 0.5384 C
• sin 72° = 0.1982 D

The general solution of tan 3x = 1 is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• all D

The solution set of the equation 1 + Cos x = 0 is __________

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If 4 sin²θ=1, then values ofθare

• 
  A
• 
  B
• 
  C
• 
  D

The solution set of the equation 4 cos²x - 3 + 0 is

• 
  A
• 
  B
• 
  C
• none of these D

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

• 
  A
• 
  B
• 
  C
• 
  D

Sine rule for a triangle states that

• a/sin A = b/sin B = c/sin C A
• sin A/a = sin B/b = sin C/c B
• a/sin A + b/sin B + c/sin C C
• 2a/sin A = 2b/sin B = 2c/sin C D

• 
  A
• 
  B
• 
  C
• none of these D

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

• 
  A
• 
  B
• 
  C
• 
  D