Question

if sina is equal to 3by4, calculate cosa and sina

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Answer 1

$\huge\tt\orange{Given}\to$ If Sina is Equal to $\frac{3}{4}$

$\huge\tt\blue{To \: Find}\to$ 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.

Answer 2

$\huge\tt\orange{Given}\to$ If Sina is Equal to $\frac{3}{4}$

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

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

━━━━━━━━━━━━━━━━━━━━━━━━━━

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

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

━━━━━━━━━━━━━━━━━━━━━━━━━━

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

━━━━━━━━━━━━━━━━━━━━━━━━━━

Last Steps Learn in Image 3. 3 Images in Total.