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KC SINHA-प्रतिलोम त्रिकोणमितीय फलन -अभ्यास 4.1
- tan^(-1) ""(cos x)/(1-sinx ) का सरलतम रूप में लिखें
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- cot^(-1) [(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sin x)-sqrt(1-sinx))], x...
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- cos^(-1) sqrt((sqrt(1+x^(2))+1)/(2sqrt(1+x^(2)))) का सरलतम रूप में लिख...
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- tan ^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)), (-1)/(sqrt(2))...
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- cot^(-1)"" (1)/(sqrt(x^(2)-1)),|x| gt 1 का सरलतम रूप में लिखें
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- tan^(-1) ""(2)/(11) + tan^(-1)""(7)/(24) = tan^(-1) ""(1)/(2) सिद्ध क...
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- tan^(-1)""(1)/(2) +tan^(-1) ""(1)/(3) = tan^(-1) ""(3)/(5) +tan^(-1)""...
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- tan^(-1) ""(2a-b)/(bsqrt(3)) +tan^(-1)""(2b-a)/(asqrt(3)) = (pi)/(3) ...
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- tan^(-1)""(2)/(5) +tan^(-1)""(1)/(3) +tan^(-1)""(1)/(12) = (pi)/(4) स...
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- 2 tan^(-1) ""(1)/(5) + tan^(-1) ""(1)/(4) = tan^(-1) ""(32)/(43) सिद्...
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- 2 tan^(-1) ""(1)/(2) + tan^(-1)""(1)/(7) = tan^(-1)""(31)/(71) सिद्ध ...
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- tan^(-1)1 + tan^(-1) 2 + tan^(-1) 3 = pi = 2 (tan^(-1) 1 + tan^(-1)""(...
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- tan^(-1)[2 cos (2 sin^(-1)""(1)/(2))] = (pi)/(4) सिद्ध करे :
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- tan( sin^(-1)""(3)/(5) + cot^(-1)""(3)/(2)) = (17)/(6) सिद्ध करे :
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- सिद्ध करे कि : tan^(-1) x + cot^(-1) y = tan^(-1)""(xy + 1)/(y-x)
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- सिद्ध करे कि : tan^(-1) x + cot^(-1)(1+x) = tan^(-1) (1+x+x^(2))
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- सिद्ध करे कि : tan^(-1)""(1)/(x+y) = tan^(-1)""(y)/(x^(2) + xy + 1)...
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- सिद्ध करे कि : 2 cot^(-1) 5 + cot^(-1) 7 + 2 cot^(-1) 8 = pi//4
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- सिद्ध करे कि : tan^(-1)""(a-b)/(1+ab) + tan^(-1) ""(b-c)/(1+bc) + t...
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- सिद्ध करे कि : sin^(-1)""(3)/(5) + sin^(-1)""(8)/(17) = sin^(-1) ""(...
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