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प्रश्न
The distance between the points (1, 0) and (2, cot θ) is ______.
रिकाम्या जागा भरा
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उत्तर
The distance between the points (1, 0) and (2, cot θ) is |cosec θ|.
Explanation:
Distance = `sqrt[(2 - 1)^2 + (cot θ - 0)^2)`
= `sqrt(1 + cot^2θ)`
Using the identity 1 + cot2θ = cosec2θ gives `sqrt("cosec"^2θ) = |"cosec" θ|` defined for θ ≠ nπ.
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