ECAT Pre Engineering MCQ Test With Answer for Chapter 16 Mathematics

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  A
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  B
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  C
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  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

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

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  A
• 
  B
• 
  C
• none of these D

The general solution of tan 3x = 1 is

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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

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

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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
• 
  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

• 
  A
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  B
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  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

cotθ= sin 2θifθ=

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  A
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  B
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  C
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  D

For Cosine Rule of any triangle ABC, b²is equal to

• a²- c²+ 2ab cos A A
• a³+ c³- 3ab cos A B
• a²+ c²- 2ac cos B C
• a²- c²4bc cos A 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

General solution of tan 5θ= cot 2θis

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  A
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  B
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  C
• 
  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
• 
  D

• 1 A
• 2 B
• 3 C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
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  C
• 
  D

cotθ= sin 2θifθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• all D

• 
  A
• 
  B
• 
  C
• 
  D

• 30° A
• 45° B
• 60° C
• 75° D

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

• 
  A
• 
  B
• 
  C
• 
  D

• 7 A
• 5 B
• 6 C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
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  C
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  D