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Find the value of tan^(-1)(x/y)-tan^(-1)...

Find the value of `tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))`

A

`pi//2`

B

`pi//3`

C

`pi//4`

D

`pi//4 "or" -3pi//4`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
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  2. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

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  3. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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

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

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

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

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

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

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

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

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

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

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

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

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  18. 2tan^(-1) ""1/5 + sec^(-1) ""(5sqrt2)/7 +2 tan^(-1)"1/8=

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

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  20. 4 tan^(-1)1/5-tan^(-1)1/239 is equal o

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