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Given , 0lexle(1)/(2), then the value of...

Given , `0lexle(1)/(2)`, then the value of `tan["sin"^(-1){(x)/(sqrt(2))+(sqrt(1-x^(2)))/(sqrt(2))}-sin^(-1)x]` is

A

`-1`

B

1

C

`1/sqrt3`

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
  1. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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  2. If A=tan^(-1) ""(xsqrt3)/(2lambda-x) and B=tan^(-1)""((2x-lambda)/(lam...

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  3. Given , 0lexle(1)/(2), then the value of tan["sin"^(-1){(x)/(sqrt(2))...

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  4. Value of tan^(-1) ""a/(b+c)+tan^(-1)"" b/(c+a), " if " angleC=90^@ " i...

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  5. cot^(-1)9 + cos^(-1)sqrt(41)/4=

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  6. If theta = cot^(-1) 7+cot^(-1) 8+cot^(-1) 18, " then " cot theta is

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  7. tan^(-1)1/2+tan^(-1)1/3=?

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  8. If tan(x+y)=33, and x= tan^(-1)3, then: y=

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  9. overset(3)underset(n=1)Sigma tan^(-1) 1/n =

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  10. IF tan^-1 2, tan^-1 3 are two angles of a triangle , then the third an...

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  11. tan^(-1) ""3/4 + tan^(-1) ""3/5 - tan^(-1) ""8/19=

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  12. Evaluate sin^(-1) . 4/5 + sin^(-1) . 5/13 + sin^(-1) . 16/65

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  13. tan^(-1)5+tan^(-1) 3-cot^(-1) "4/7=

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  14. sin^(-1) ""12/13 + cos^(-1)"" 4/5 tan^(-1) ""63/16=

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

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  16. 2tan^(-1) ""1/5 + sec^(-1) ""(5sqrt2)/7 +2 tan^(-1)"1/8=

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  17. Prove that 4 tan^(-1) . 1/5 - tan^(-1) . 1/70 + tan^(-1) . 1/99 = ...

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  18. 4 tan^(-1)1/5-tan^(-1)1/239 is equal o

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  19. tan^(-1) (1/5) + tan^(-1) (1/7) + tan^(-1) (1/3) + tan^(-1) (1/8) = π/...

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  20. sin[1/2 cot^(-1)"(-3/4)] is equal to

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