Math, asked by rashrachana25, 6 months ago

pls slove this as fast as fast u can

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Answered by marco417chan
1

Step-by-step explanation:

\frac{sinA + cosA}{sinA - cosA} × \frac{sinA - cosA}{sinA + cosA}

=\frac{(sinA + cosA)^{2} + (sinA - cosA)^{2} }{(sinA + cosA)(sinA -cosA)}

=\frac{sin^{2}A +2sinAcosA +cos^{2}A +  sin^{2}A -2sinAcosA +cos^{2}A}{sin^{2} A- cos^{2}A }

=\frac{2(sin^{2}A + cos^{2}A)}{sin^{2}A - cos^{2}A  }

=\frac{2(1)}{sin^{2}A - cos^{2}A  }

=\frac{2}{sin^{2}A - cos^{2}A  }   (first answer)

=\frac{2}{sin^{2}A + 1 - cos^{2}A -1  }                                                  

=\frac{2}{sin^{2}A + sin^{2}A -1  }

=\frac{2}{2sin^{2}A -1  } (second answer)

from the first answer,

\frac{2}{sin^{2}A - cos^{2}A  }  

=\frac{2}{1 - cos^{2}A - cos^{2}A  }

=\frac{2}{1 - 2cos^{2}A  }(third answer)    

Answered by Anonymous
16

Answer:

good \: afternoon

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