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

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  D

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  A
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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 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

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

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  A
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  B
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  C
• none of these D

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

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  B
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  C
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  D

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

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  A
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  B
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  C
• none of these D

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

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  A
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  B
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  C
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  D

cotθ= sin 2θifθ=

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  A
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  B
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  C
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  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

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  A
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  B
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  C
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  D

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

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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
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  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

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  A
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  B
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  C
• none of these D

One root of the equation cos x - x + 1/2 = 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

• No solution A
• One real solution B
• More than one real solution C
• None of these 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
• both a & c D

• 1 A
• 2 B
• 3 C
• None of these D

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  A
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  B
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  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

The solution set of trigonometric equation contains

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

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  A
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  B
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  C
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  D

cotθ= sin 2θifθ=

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  A
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  B
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  C
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  D