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

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

A

0

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

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The correct Answer is:
B
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Prove that tan^(-1)(3/5)+tan^(-1)(1/4)=(pi)/(4)

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

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

Prove that: tan^(-1)(1)/(7)+tan^(-1)(1)/(13)=tan^(-1)(2)/(9)tan^(-1)+tan^(-1)(1)/(5)+tan^(-1)(1)/(8)=(pi)/(4)tan^(-1)(3)/(4)+tan^(-1)(3)/(5)-tan^(-1)(8)/(19)=(pi)/(4)tan^(-1)(1)/(5)+tan^(-1)(1)/(7)+tan^(-1)(1)/(3)+tan^(-1)(1)/(8)=(pi)/(4)cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)(1)/(13)

Prove that tan^(1)((3)/(4))+tan^(-1)((1)/(7))=(pi)/(4)

Prove that : tan^(-1)(1)/(5)+tan^(-1)(1)/(7)+tan^(-1)(1)/(3)+tan^(-1)(1)/(8)=(pi)/(4)

prove that 2(tan^(-1)1)/(3)+(tan^(-1)1)/(7)=(pi)/(4)

Prove that: tan^(-1)((1)/(5))+tan^(-1)((1)/(7))+tan^(-1)((1)/(3))+tan^(-1)((1)/(8))=(pi)/(4)

tan^(-1) . 3/5 +tan^(-1) . 1/4 = pi/2

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

PUNEET DOGRA-INVERSE TRIGONOMETRIC FUNCTION -PREV YEAR QUESTION
  1. What is the value of sin^(-1)""(4)/(5)+sec^(-1)""(5)/(4)-(pi)/(2)

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

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

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

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

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

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

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

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  9. Simplify:- 8 * 9 * 12 ÷ 18 = ?

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

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

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

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

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

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

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

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

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  18. Consider the following statements I. tan^(-1)1+tan^(-1)(0.5)=pi//2 ...

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  19. If x and y are positive and xygt1, then what is tan^(-1)x+tan^(-1)y to...

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  20. What is tan^(-1)((1)/(2))+tan^(-1)((1)/(3)) equal to?

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