ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 15 (Inverse Trigonometric Functions)

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sin^-1 x =

• tan^-1 x A
• Cosec ^-1 x B
• Cosec x C
• cosec^-1(1/x) D

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sin[cot^-1{cos(tan^-1x)}]=

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  D

The domain of the principal tan function is

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  D

The domain of the principle sine function is

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  D

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Sin -1 x=

• sin(π/2-x) A
• Sin-1 (π/2-x) B
• π/2-cos-1x C
• π/2 + cos-1x D

The principal value of sin-1√(3/2) is

• -π/3 A
• π/3 B
• 2π/3 C
• π/2 D

The value of sin [ arc cos (-1/2)] is

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  D

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The domain of the principle cos function is

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• 0 A
• 1 B
• -1 C
• None of these D

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  D

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The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

• 0 A
• 2 B
• 1 C
• Infinite D

• 1 A
• 7 B
• 4 C
• None of these D

• π / 3 A
• π / 4 B
• π / 6 C
• 0 D

The range of the principle cot function is

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  A
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  B
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  C
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  D

If 2 tan¹(cos x) = tan^-1(cosec²x), then x is equal to

• π/ 3 A
• π/ 2 B
• π/ 6 C
• π D

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 D

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The range of the principal sine function is

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  D

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  D