ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 16 (Solution of Trigonometric Equation)

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• A finite non-empty set A
• Null set B
• Both a and b C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The solution of the equation 3 tan²x = 1 is ____________

• 
  A
• 
  B
• 
  C
• none of these D

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

By expressing cos 113° in terms of trigonometrical ratios, answer will be

• − cos 76° = -0.7093 A
• − cos 65° = -0.4258 B
• − cos 67° = -0.3907 C
• − cos 62° = -0.8520 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 30° A
• 45° B
• 60° C
• 75° D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• None of these D

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

The solution set of sin x + cos x = 0 is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• all 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

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

• 
  A
• 
  B
• 
  C
• 
  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 value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

• 
  A
• 
  B
• 
  C
• 
  D

• 7 A
• 5 B
• 6 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these D

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D