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(sinA+cosA)÷(sinA-cosA)=x÷y, prove that xsquare +ysquare=2

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(sinA+cosA)÷(sinA-cosA)=x÷y, prove that xsquare +ysquare=2

    • Posted by Tausiful Haque 7 years, 5 months ago

    Entrance Exam > JEE main > Mathematics
    • 2 answers

    Sachin Ray 7 years, 4 months ago

    Sin…1\2√sin

    0Thank You

    Soumya Ghoshal 7 years, 4 months ago

    x²+y²=(sinA+cosA) ² +(sinA-cosA) ²

              = 2

    OR, 

    x+y=k sinA, x-y=k cosA 

    x²+y²=1/2(k²sin²A + k²cos²A) 

             = 1/2 (k²(sin²A + cos²A)) 

             = 1/2 *k²

              = k²/2

    1Thank You

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