ECAT Mathematics Chapter 12 MCQ Test With Answer for Mathematics chapter 12 (Trigonometric Functions and Identities)

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  A
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  B
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  D

cos 2α=

• sin²α+ cos²α A
• -cosθ B
• tanθ 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

sin (α+β) + sin (α-β)

• 2 sinαcosβ A
• sin (2αβ) B
• sinαcosα C
• None of these D

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  B
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  C
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  D

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  A
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  D

cos 2α=

• 1 - 2 sin²α A
• sin ²α+ cos²β B
• sin²α- cos²β C
• None of these D

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  B
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  D

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  D

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  A
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  D

Which one is a pair of allied angles

• (180° -θ) A
• (180° -θ,180° +θ) B
• (180° +θ) C
• None of these D

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  B
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  C
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  D

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  A
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  C
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  D

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  D

sin 3a = ______;

• 3sin a - 4sin3a A
• 4sin a -3 sin3 a B
• 3 cos3 a -cosa C
• 4cos3 a - 3cos a D

The law of cosines reduces to a2 +c2 =b2 for

• α = 90° A
• β = 90° B
• γ = 90° C
• α +β +γ =180° 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

sin (α +β)=

• sinαcosβ- cosαsinβ A
• sinαcosβ- cosαsinβ B
• sinαcosα- cosβsinβ C
• sinαcosα+ cosβsinβ D

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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  B
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  D

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  A
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  B
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  D

2cos2 a/2 =______;

• 1+sina A
• 1-sina B
• 1+cosa C
• 1-cosa D

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  A
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  B
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  C
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  D

Express as a sum or difference: 2 sin 5θcosθ

• cos 4θ- cos 2θ A
• sin 4θ+ sin 2θ B
• cos 4θ+ cos 2θ C
• sin 4θ- sin 2θ 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

sin(180° -θ)=

• cosθ A
• -cosθ B
• Tanθ C
• Sinθ D

cos (α-β) = cosαcosβ+ sinαsinβis true for all

• α>β> 0 A
• α>β B
• β>α C
• None of these D

cos 315° = ______

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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