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

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

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

• 1 A
• 2 B
• 3 C
• None of these D

• 7 A
• 5 B
• 6 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 30° A
• 45° B
• 60° C
• 75° D

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

• 
  A
• 
  B
• 
  C
• 
  D

The general solution of tan 3x = 1 is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• all D

The solution of the equation 3 tan²x = 1 is ____________

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

The solution set of trigonometric equation contains

• one element A
• two elements B
• three elements C
• Infinite elements D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

If 4 sin²θ=1, then values ofθare

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D