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Pie
3 years ago
10

Sin A + cos A/ sin A - cos A +sin A - cos A /sin A + cos A​

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

\\ \sf\longmapsto \dfrac{sinA+cosA}{sinA-cosA}+\dfrac{sinA-cosA}{sinA+cosA}

Let

  • sinA be a
  • cosA be b

\\ \sf\longmapsto \dfrac{a+b}{a-b}+\dfrac{a-b}{a+b}

\\ \sf\longmapsto \dfrac{(a+b)^2+(a-b)^2}{(a+b)(a-b)}

\\ \sf\longmapsto \dfrac{2(a^2+b^2)}{a^2-b^2}

  • Putting values

\\ \sf\longmapsto \dfrac{2(sin^2A+cos^2A)}{sin^2A-cos^2A}

\\ \sf\longmapsto \dfrac{2}{sin^2A-cos^2A}

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