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tan^(-1)[2sin{2cos^(-1).(sqrt3)/(2)}] का...

`tan^(-1)[2sin{2cos^(-1).(sqrt3)/(2)}]` का मान ज्ञात कीजिए |

लिखित उत्तर

Verified by Experts

The correct Answer is:
`pi/3`
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BANSAL HINDI-INVERSE TRIGNOMETRIC FUNCTIONS-EXERCISE-4 (SECTION-A)(CBSE PREVIOUS YEAR.S QUESTIONS)
  1. समीकरण 2 tan^(-1)(cos x)=tan^(-1) (2 " cosec " x) को हल कीजिए

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  2. सिद्ध करें कि : tan^(-1)""(1)/(4) + tan^(-1)""(2)/(9)=(1)/(2) cos^(-...

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  3. सिद्ध कीजिए - tan^(-1)sqrtx=(1)/(2)cos^(-1)((1-x)/(1+x)),x in (0,1).

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  4. सिद्ध कीजिए कि "tan"^(-1)1/3+"tan"^(-1)1/5+"tan"^(-1)1/7+"tan"^(-1)1...

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

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  6. सिद्ध करे कि : tan((pi)/(4) +(1)/(2) cos^(-1) ""(a)/(b)) +tan((pi)/(...

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  7. tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))=(pi)/(4)-(1)/(2)...

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  8. cos^(-1) (cos . (2pi)/3) + sin^(-1) (sin . (2pi)/3) का मुख्य मान ज्ञात...

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  9. सिद्ध कीजिए 2tan^(-1)" " 1/2+tan^(-1)" " 1/7=tan^(-1)" " 31/17

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  10. सिद्ध कीजिए - cos(sin^(-1).(3)/(5)+cot^(-1).(3)/(2))=(6)/(5sqrt(13)...

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  11. tan^(-1)[2sin{2cos^(-1).(sqrt3)/(2)}] का मान ज्ञात कीजिए |

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  12. दर्शाइए कि tan(1/2 sin^(-1). 3/4) = (4-sqrt7)/3

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  13. इन समीकरण हो हल कीजिये cos(tan^(-1)x)=sin(cot^(-1)""3/4)

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  14. सिद्ध कीजिए कि "tan"^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)...

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

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  16. मान ज्ञात कीजिये : tan{2 tan^(-1)(1/5) + pi/4}

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  17. निम्नलिखित समीकरणों को हल कीजिए - tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(...

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  18. सिद्ध कीजिए कि tan^(-1)""((6x-8x^(3))/(1-12x^(2)))-tan^(-1)""((4x...

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  19. यदि tan^(-1)""(x-3)/(x-4)+tan^(-1)""(x+3)/(x+4)=pi/4 हो, तो x मान ज्ञा...

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