ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 16

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

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

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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  A
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  B
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  C
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  D

The solution set of trigonometric equation contains

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

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  A
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  B
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  C
• none of these D

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  A
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  B
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  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• none of these D

The number of points of intersection of two curves y = 2 sin x and y = 5x²+ 2x + 3 is

• 0 A
• 1 B
• 2 C
• None of these D

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  A
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  B
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  C
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  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

• 1 A
• 2 B
• 3 C
• None of these D

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

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  A
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  B
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  C
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  D

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

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  A
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  B
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  C
• both a & c D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  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

cotθ= sin 2θifθ=

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  A
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  B
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  C
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  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

If 4 sin²θ=1, then values ofθare

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  A
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  B
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  C
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  D

• 7 A
• 5 B
• 6 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

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

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  A
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  B
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  C
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  D

• A finite non-empty set A
• Null set B
• Both a and b 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

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  A
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  B
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  C
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  D