Question # 1

cos^-1(cos x) =

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x

cos x

x = 1/x

cos^-2 x

The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

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

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π/ 3

π/ 2

π/ 6

π

sin^-1 x =

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tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

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Cos^-1 12/13 =

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tan^-1 3/5

cot^-1 13/12

Sec^-1 13/12

sin^-1 5/13

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Cos 2x = sin 4y

Cos 4y = cos 2x

Cos 3y = sin 4x

None of these

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π / 3

π / 4

π / 2

π

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

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[0, 1]

[-1, 1]

[1, 3]

None of these

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The principal value of sin^-1[-√(√3) /2] is

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5π/3

-2π/3

-

π/3

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Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

The Principal value of sin-1 (-1/1/2)

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π/2

-π/2

π

-π

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π / 4

π / 6

π / 3

0

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tan^-1x > cot^-1x holds for

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x > 1

x < 1

x = 1

All values of x

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1/3

1

3

None of these

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sin -1(sin2π/3) =

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π/2

2π/3

-3π/2

π/3

x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

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x = 3

x = 1/5

x = 0

None of these

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

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0

1

-1

None of these

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

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The domain of the principle cos function is

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The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

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Mathematics ECAT Pre Engineering Chapter 15 Inverse Trigonometric Functions Online Test MCQs With Answers

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