Math, asked by Anonymous, 3 months ago

sinA/1-cotA+cosA/tanA=sinA+cosA​

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Answered by ajr111
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Answer:

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Answered by sandy1816
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 \frac{sinA}{1 - cotA}  +  \frac{cosA}{1 - tanA}  \\  \\  =  \frac{ {sin}^{2}A }{sinA - cosA}  +  \frac{ {cos}^{2}A }{cosA - sinA}  \\  \\  =  \frac{ {sin}^{2}A }{sinA - cosA}  -  \frac{ {cos}^{2} A}{sinA - cosA}  \\  \\  =  \frac{ {sin}^{2}A -  {cos}^{2}  A}{sinA - cosA}  \\  \\  = sinA + cosA

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