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Find : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(...

Find : `tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)= ?`

A

`pi/4`

B

`pi/3`

C

`tan^(-1)(12/5)`

D

`tan^(-1)(4/3)`

Text Solution

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The correct Answer is:
A
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tan^(-1)(1/7)+tan^(-1)(1/9)+tan^(-1)(1/8)

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

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

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

Find x if tan^(-1)(x) = tan^(-1)(1/2) + tan^(-1)(3/7)

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

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)

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AAKASH INSTITUTE-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. Value of sec^(-1)(sec.(4pi)/3) is

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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 : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)= ?

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

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  5. cosec^(-1)(-x),x in R-(-1,1), is equal to

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  6. cot^(-1)(-2) is equal to

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  7. If "sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

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  8. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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  9. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

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  10. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

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  11. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

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  12. If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

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  13. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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  14. Express in terms of : sin^(-1)(2xsqrt(1-x^(2))) to sin^(-1)x for 1gexg...

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  15. sin^(-1) (5/x) +sin^(-1) (12/x) =pi/2

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  16. tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),absxx le...

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  17. If cos^(-1)(x/m)+cos^(-1)(y/n)=theta, then x^2/m^2-(2xy)/(mn)costheta+...

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  18. tan^(-1)(1/2)+tan^(-1)(1/3) is equal to

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  19. cos(tan^(-1)3/4)+cos(tan^(-1)x) is equal to

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  20. If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

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