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What is sin[cot^(-1)[cos(tan^(-1)x)] whe...

What is `sin[cot^(-1)[cos(tan^(-1)x)]` where `xgt0`, equal to ?

A

A. `sqrt(((x^(2)+1))/((x^(2)+2)))`

B

B. `sqrt(((x^(2)+2))/((x^(2)+1)))`

C

C. `((x^(2)+1))/((x^(2)+2))`

D

D. `((x^(2)+2))/((x^(2)+1))`

Text Solution

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The correct Answer is:
A
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PUNEET DOGRA-INVERSE TRIGONOMETRIC FUNCTION -PREV YEAR QUESTION
  1. What is sin[cot^(-1)[cos(tan^(-1)x)] where xgt0, equal to ?

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  2. What is tan{2tan^(-1)""(1)/(3)}=

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  3. If sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^2))=tan^(-1)((2x)/...

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  4. What is the value of sin^(-1)""(4)/(5)+sec^(-1)""(5)/(4)-(pi)/(2)

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  5. What is the value of sin^(-1)""(4)/(5)+sec^(-1)""(5)/(4)-(pi)/(2)

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  6. Let the slope of the curve y=cos^(-1)(sinx) be tantheta then the value...

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  7. prove tan^(-1)(3/5)+tan^(-1)(1/4)=(pi)/(4)

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  8. sin^(-1) (sin=(2pi)/(3)) = ?

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  9. The principle value of sin^(-1)x lies in the interval

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  10. Find the value of sin^(-1) ((3)/(5)) + tan^(-1) ((1)/(7))

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  11. What is the value of cos(2cos^(-1)(0.8)) ?

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  12. Consider the following statements 1. There exists thetain(-(pi)/(2),...

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  13. Simplify:- 8 * 9 * 12 ÷ 18 = ?

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  14. Consider the following statements 1. sin^(-1)""(4)/(5)+sin^(-1)""(3)...

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  15. The value of tan(2tan^(-1)""(1)/(5)-(pi)/(4)) is

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  16. x=4tan^(-1)((1)/(5)),y=tan^(-1)((1)/(70)) z=tan^(-1)((1)/(99)) Wha...

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  17. x=4tan^(-1)((1)/(5)),y=tan^(-1)((1)/(70)) z=tan^(-1)((1)/(99)) Wha...

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  18. x=4tan^(-1)((1)/(5)),y=tan^(-1)((1)/(70)) z=tan^(-1)((1)/(99)) Wha...

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  19. The number of solution of the equation tan^(-1) (1 + x) + tan^(-1) (1 ...

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  20. What is sin^(-1)""(4)/(5)+sin^(-1)""(3)/(3) equal to ?

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  21. What is sin^(-1)sin((3pi)/(5)) equal to?

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