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Prove the following : sin^(-1)(4/5)+2\ t...

Prove the following : `sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2`

A

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

B

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

C

`tan^(-1)(3/sqrt10)`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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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. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, Then x^2013+y^2013+z^2013-9/...

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

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

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

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  14. about to only mathematics

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

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