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Introduction to Trigonometry Test - 2

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Introduction to Trigonometry Test - 2
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  • Question 1
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    What is the value of q2 - p2 - r2 if p = acosecθ cotθ', q = acosecθ cosecθ' and r = acosecθ?

    Solution

    q2 - p2 - r2
    = a2cosec2θ cosec2θ' - a2cosec2θ cot2θ' - a2cosec2θ
    = a2cosec2θ(cosec2θ' - cot2θ') - a2cosec2θ
    (As cosec2θ - cot2θ = 1)
    = a2cosec2θ - a2cosec2θ = 0

     

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