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Find the principal value of (a) cosec^...

Find the principal value of (a) `cosec^(-1) (-1)` (b) `cot^(-1) (-(1)/(sqrt3))`

A

`-pi/2`

B

0

C

`pi/2`

D

`(3pi)/2`

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. Find the principal value of cot^(-1)(-sqrt3)

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  2. Find the principal value of each of the following: (i) tan^(-1)(1/(s...

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  3. Find the principal value of (a) cosec^(-1) (-1) (b) cot^(-1) (-(1)/(...

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  4. The principal value of cot^(-1)x lie in

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  5. The principal values of sec^(-1)x lie in

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  6. The value of tan^(-1)(sqrt3)+cos^(-1)((-1)/sqrt2)+sec^(-1)((-2)/sqrt3)...

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  7. The value of cot^(-1)(-sqrt3)+cosec^(-1)(2)+tan^(-1)(sqrt3) is

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  8. The value of 2cos^(-1)(-1/2)-2 sin^(-1)(-1/2)-cos^(-1)(-1) is

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  9. Evaluate each of the following: sin^(-1)(sinpi/6) (ii) sin^(-1)(sin...

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  10. Evaluate each of the following: sin^(-1)(sin(2pi)/3) (ii) cos^(-1)(...

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  11. sin(cos^(-1)(3/5)) is equal to

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  12. The numerical value of "tan"(2tan^(-1)(1/5)-pi/4 is equal to

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  13. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

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  14. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, Then x^2013+y^2013+z^2013-9/...

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  15. Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2

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  16. 1/2tan^(- 1)(12/5) is equal to

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  17. Value of sec^(-1)(sec.(4pi)/3) is

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  18. Find the value of the expression: sin(2\ tan^(-1)1/3)+cos(tan^(-1)...

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  19. Prove that : tan^(-1)1/2+tan^(-1)1/5+tan^(-1)1/8=pi/4

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  20. cos^(-1)(-x),absx le 1, is equal to

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