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If sina is equal to 3by4, calculate cosa and sina ​

Answer»

align="absmiddle" alt="\huge\tt\orange{Given}\to" class="latex-formula" id="TexFormula1" SRC="https://tex.z-dn.net/?f=%5Chuge%5Ctt%5Corange%7BGiven%7D%5Cto" title="\huge\tt\orange{Given}\to"> If Sina is Equal to \frac{<klux>3</klux>}{4}

\huge\tt\blue{To \: Find}\to EQUATION For Sina & Cosa.

\huge\tt\purple{Using \: Formula}\to Equation.

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Sin A = \frac{4}{4} \\ \sf \frac{Side \: Opposite \: to \angle A}{Hypotenuse} \implies \frac{3}{4} \\ \implies \frac{BC}{AC}=\frac{3}{4}

BC=3x \\ AC=4x \sf\blue{Check \: Image \to 1}

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( Hypotenuse )² = ( Hight )² + ( Base )²

AC² = AB² + BC²

(4x)² = AB² + (3x)²

16x² = AB² + 9x²

16x² – 9x² = AB²

7x² = AB²

AB² = 7x²

AB = \sqrt{7x²}

AB = \sqrt{7} x \sf\blue{Image \to 2}

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Last Steps LEARN in Image 3. 3 Images in TOTAL.



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