Question # 1

tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

sin (sin^-1(1/2))=

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0

2

∞

1/2

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

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π/ 4

π/ 6

π/ 3

2π/ 3

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1

-1

0

None of these

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

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3

1

2

-1

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π / 3

π / 4

π / 2

π

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

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x > 1

x < 1

x = 1

All values of x

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

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0

2

1

Infinite

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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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π/ 2

π/ 3

π/ 4

π

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

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

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π/2

-π/2

π

-π

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

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π/ 3

π/ 2

π/ 6

π

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1

7

4

None of these

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π / 3

π / 4

π / 6

0

The domain of the principle cos function is

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sin^-1 x =

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tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

The exact value of cos^-1 (-1) + cos^-1(1) =

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π

-π

π/2

π/3

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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

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0

-1

1/2

1

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