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If cosec A + cotA = …

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If cosec A + cotA = p , then prove that cosA = p2 - 1/p2 + 1

    • Posted by Naval Saini 6 years, 2 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 2 months ago

    cosec A + cot A = p
    {tex}\frac{1}{sinA}{/tex} + {tex}\frac{cosA}{sinA}{/tex}= p
    1 + cosA = psinA
    Squaring both the sides
    (1 + cosA)2 = p2 (sinA)2
    (1 + cosA)2 = p2 (1 - (cos)2)
    (1 + cosA)2 = p2 (1 - (cos)) (1+cosA)
    1 + cosA = p2 (1 - cosA)
    cosA = (p2-1)/(p2+1)
    Hence proved

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