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Mathematics

For the given figure, which of the following conditions is true :

  1. cot γ < cot β

  2. cot γ > cot α

  3. cot β > cot α

  4. cot β < cot γ

For the given figure, which of the following conditions is true : Trigonometrical identities, Concise Mathematics Solutions ICSE Class 10.

Trigonometric Identities

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Answer

From figure,

cot α = OAAB\dfrac{OA}{AB}

cot β = OAAC\dfrac{OA}{AC}

cot γ = OAAD\dfrac{OA}{AD}

Since, AB < AC < AD

∴ cot γ < cot β < cot α

Hence, Option 1 is the correct option.

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