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tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=ta...

`tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=tan^(-1)""(1)/(2)`

लिखित उत्तर

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`L.H.S=tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)`
`=tan^(-1)""((2)/(11)+(7)/(24))/(1-(2)/(11)xx(7)/(24))`
`=tan^(-1)""((48+77)/(264))/((264-14)/264)=tan^(-1)""(125)/(250)`
`=tan^(-1)""(1)/(2)=R.H.S`
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NOOTAN HINDI-प्रतिलोम त्रिकोणमितीय फलन -प्रश्नावली 2.2
  1. 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x"in[-(1)/(2),(1)/(2)]

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  2. 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x""in[(1)/(2),1]

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  3. tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=tan^(-1)""(1)/(2)

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  4. सिद्ध कीजिए कि 2tan^(-1)""(1)/(2)+tan^(-1)""(1)/(7)=tan^(-1)""(31)/(...

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  5. tan^(-1)(sqrt(1+x^(2))-1)/(x),x""ne0

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  6. tan^(-1)""(1)/(sqrt(x^(2)-1)),|x|gt1

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  7. tan^(-1)""((sqrt(1-cosx))/(1+cosx)),0ltxltpi

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  8. tan^(-1)((cosx-sinx)/(cosx+sinx)),(-pi)/(4)ltxlt(3pi)/(3)

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  9. tan^(-1)""(x)/(sqrt(a^(2)-x^(2))),|x|lta

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  10. tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2))),agt0,(-a)/(sqrt3)ltxlt(a)/(s...

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  11. tan^(-1)[2cos(2sin^(-1)""(1)/(2))]

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  12. cot(tan^(-1)a+cot^(-1)a)

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  13. tan""(1)/(2)[sin^(-1)""(2x)/(1+x^(2))+cos^(-1)""(1-y^(2))/(1+y^(2))],|...

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  14. यदि sin(sin^(-1)""(1)/(5)+cos^(-1)x)=1 तो x का मान ज्ञात कीजिए।

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  15. यदि tan^(-1)""(x-1)/(x-2)+tan^(-1)""(x+1)/(x+2)=(pi)/(4), तो x का मान ...

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  16. sin^(-1)(sin""(2pi)/(3))

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  17. tan^(-1)(tan""(3pi)/(4))

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  18. tan(sin^(-1)""(3)/(5)+cot^(-1)""(3)/(2))

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  19. cos^(-1)(cos""(7pi)/(6)) का मान बराबर है :

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  20. sin((pi)/(3)-sin^(-1)(-(1)/(2))) का मान है :

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