Airforce X Y / Indian Navy SSR Exam > Airforce X Y / Indian Navy SSR Tests > JEE Advanced Level Test: Inverse Trigonometry- 2 - Airforce X Y / Indian Navy SSR MCQ

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 1

Domain of f(x) = cos^{–1} x + cot^{–1} x + cosec^{–1} x is

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 3

Range of f(x) = sin^{–1} x + tan^{–1} x + sec^{–1} x is

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 4

If ƒ(x) = tan(x), then f^{-1}(1/√(3)) =

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 5

If cos [tan^{-1} {sin(cot^{-1 })}] = y, then :

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 8

The value of x for which sin [cot^{–1}(1+x)] = cos(tan^{–1}x)

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 9

If , then the maximum value of 'n' is

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 10

The value of sin^{–1} (sin 12) + cos^{–1} (cos 12) is equal to

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 11

The value of sin^{-1}[cos{cos^{-1}_{ }(cos x) + sin^{-1}(sin x)}], where x

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 12

Which of the following is different from 2tan^{−1}x?

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 13

If x< 0 then value of tan^{-1}(x) + tan^{-1} is equal to

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 14

tan^{–1} a + tan^{–1}b, where a > 0, b > 0, ab > 1, is equal to

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 17

The smallest and the largest values of

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 19

**The principal value of cos ^{–1} (cos 5) is**

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 20

**The value of sin ^{–1} (sin 12) + cos^{–1} (cos 12) is equal to**

JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 21

Which one of the following correct ?

JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 22

The equation sin^{-1} x - cos^{-1} x = has

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 23

The set of values of ‘x’ for which the formula 2 sin^{-1} x = sin^{-1 is true is }

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 25

The value of x satisfying sin^{–1} x + sin^{–1}(1 – x) = cos^{–1} x are

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 26

The number of solutions of the equation tan^{-1}(1 + x) + tan^{-1}(1 – x) = π/2 is

JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 27

The number of solution(s) of the equation Sin^{-1}(1 – x) – 2sin^{-1} x = π/2 , is / are

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JEE Advanced Level Test: Inverse Trigonometry- 2 - Question 28

The number of solutions of the equation is

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