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If sec theta + tan theta =p ,then find the value of cosec theta

Posted by Apurva Sharma 6 years, 10 months ago

CBSE > Class 10 > Mathematics

3 answers

Jatt Putt Aryan???? 6 years, 10 months ago

SecA+tanA=p ----------------------------(1) ∵, sec²A-tan²A=1 .......(secA+tanA)(secA-tanA)=1 ......... secA-tanA=1/p -----------------------(2) Subtracting (2) from (1) we get, 2tanA=p-1/p ......, tanA=(p²-1)/2p .....cotA=2p/(p²-1) Now, cosec²A-cot²A=1 .......cosec²A=1+cot²A ...... cosec²A=1+{2p/(p²-1)}² ....... cosec²A=1+4p²/(p²-1)² ..,..cosec²A=(p⁴-2p²+1+4p²)/(p²-1)² ......cosec²A=(p⁴+2p²+1)/(p²-1)².............., cosec²A=(p²+1)²/(p²-1)² ...... cosecA=(p²+1)/(p²-1)

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Jatt Putt Aryan???? 6 years, 10 months ago

(P²+1)/(p²-1)

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Puja Sahoo? 6 years, 10 months ago

(p²+1)/(p²-1) Ans.

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