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Sec+Tan=p then find cosec

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Sec+Tan=p then find cosec
  • 1 answers

Devyansh Joshi 45 6 years, 11 months ago

Sec + tan = p ..(1) Using identity sec^-tan^=1 (sec + tan)+(sec- tan)=1 P+(sec - tan)=1 sec-tan=1/p ...(2) Adding(1)&(2)... sec +tan+sec-tan= p+1/p 2sec=p^+1/0 sec= p^+1/2p Put this value in (1) ... P^+1/2p+tan=p tan =p-(p^+1/2p) = 2p^-p^-1/2p =p^-1/2p ( cot = 1/tan = 2p/p^-1) cot = cosec/sec = 2p/p^-1/p^+1/2p =2p/p^-1×p^+1/2p (reciprocal)...... = p^+1/p^-1 ans......
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