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# x के लिए हल कजिए - <br> cos(tan^(-1)x)=sin(cot^(-1)""(3)/(4))

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Updated On: 31-1-2020

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Solution :
माना  cot^(-1)""(3)/(4)=theta implies cot theta=(3)/(4) <br> इसलिए sin theta=(4)/(5)implies theta=sin^(-1)""(4)/(5) <br> माना tan^(-1)x=phiimplies tan phi=x  <br> इसलिए  cos phi=(1)/(sqrt(1+x^(2))) <br> अतः sin(cot^(-1)""(3)/(4))=sin theta= sin(sin^(-1)""(4)/(5))=(4)/(5) <br> तथा cos(tan^(-1)x)=cos phi=(1)/(sqrt(1+x^(2))) <br> इसलिए (1)/(sqrt(1+x^(2)))=(4)/(5) <br> implies (1)/(1+x^(2))=(16)/(25)implies x=pm""(3)/(4) <br> अतः x=pm(3)/(4)

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