ECAT Mathematics Chapter 16 Solution of Trigonometric Equations

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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 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

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

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

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  A
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  B
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  C
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  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 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

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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 3 tan²x = 1 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
• none of these 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

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  A
• 
  B
• 
  C
• none of these D

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  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these 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

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

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  A
• 
  B
• 
  C
• none of these D

• 30° A
• 45° B
• 60° C
• 75° D

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  A
• 
  B
• 
  C
• 
  D

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

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

• 
  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

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

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  A
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  B
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  C
• 
  D

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

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  A
• 
  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

cotθ= sin 2θifθ=

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  A
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  B
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  C
• 
  D

The solution set of trigonometric equation contains

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