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

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

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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AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
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  2. Find the value of the expression: sin(2\ tan^(-1)1/3)+cos(tan^(-1)...

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

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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 x

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

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

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  10. about to only mathematics

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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. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

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  16. y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e ...

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  17. If cos^(-1)""x/a+cos^(-1)""y/b=theta, Prove that x^(2)/a^(2)-(2xy)/(ab...

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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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