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

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

• 
  A
• 
  B
• 
  C
• 
  D

In which quadrant is the solution of the equation sin x + 1 = 0

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

• 
  A
• 
  B
• 
  C
• 
  D

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

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these 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

General solution of 1 + cos x = 0 is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• trigonometric equation A
• conditional equation B
• identity C
• None 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

• 
  A
• 
  B
• 
  C
• none of these D

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D