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ICSE Class X Math 2020 Paper

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Question : 8 of 29
Marks: +1, -0
Prove that :
  sin⁡A1+cot⁡A−cos⁡A1+tan⁡A=sin⁡A−cos⁡A\; \frac{\sin A}{1+\cot A} - \frac{\cos A}{1+\tan A} = \sin A - \cos A
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