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22 February, 09:12

CosA/1-tanA + sinA/1-cotA=sinA+cosA

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  1. 22 February, 09:33
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    Step-by-step explanation:

    cosA / (1-tanA) + sinA / (1-cotA)

    cosA / (1-tanA) * cosA/cosA + sinA / (1-cotA) * sinA/sinA

    cos²A / (cosA-sinA) + sin²A / (sinA-cosA)

    cos²A / (cosA-sinA) - sin²A / (cosA-sinA)

    (cos²A-sin²A) / (cosA-sinA)

    (cosA+sinA) (cosA-sinA) / (cosA-sinA)

    cosA+sinA
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