Question # 1

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

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5π/3

-2π/3

-

π/3

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

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π/ 3

π/ 2

π/ 6

π

The value of sin^-1 5/13 is equal to

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Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

Tan^-11/x = ______

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sin x

sec^-1X

cot^-1X

None of these

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

The principal value of sin^-1(-1/2)

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π/3

π/4

π/6

-π/6

The domain of the function y = sin x , is

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-π/2≤ x≤ π/2

π/ ≤ x≤ π

-2π ≤ x≤ 2π

-1 ≤ x≤ 1

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1

-1

0

None of these

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π / 3

π / 4

π / 6

0

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

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0

2

1

Infinite

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

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In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

What is the value of cos-1(1/2)?

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π/3

π/4

3π/2

π/6

sin^-1[-1/2] = ______

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Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

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

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70^ο

50^ο

90^ο

60^ο

The domain of the principle sine function is

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Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

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π / 4

π / 6

π / 3

0

Cos-1(x)=

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cos x

x

tan-1(-x)

Sec-1 (1/x)

The range of the principle cot function is

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π/ 4

π/ 6

π/ 3

2π/ 3

If tan^-13 + tan^-1x = tan^-18, then x=

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5

1/5

5/14

14/5

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

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3

1

2

-1

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

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x > 1

x < 1

x = 1

All values of x

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The domain of the principle cos function is

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

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