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If secA+tanA=p then find the value …

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If secA+tanA=p then find the value of cosecA

    • Posted by Piyush Bothra 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Nikita Sharma 6 years, 11 months ago

    SecA+tanA=p 1/cosA+sinA/cosA=p (1+sinA)/cosA=p Squaring both sides (1+sinA)²/cos²A=p² (1+sinA)(1+sinA)/1-sin²A=p² (1+sinA)(1+sinA)/(1+sinA)(1-sinA) =P² (1+sinA)/(1-sinA) =p² 1+sinA=p²(1-sinA) SinA=p²-p²sinA-1 SinA+p²sinA=p²-1 SinA(1+p²)=p²-1 SinA=(p²-1)/(p²+1) CosecA=(p²+1)/(p²-1)

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