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Six Trigonometric Ratios

<math><semantics><mrow><mfrac><mn>6</mn><mn>10</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{6}{10}</annotation></semantics></math>106​

<math><semantics><mrow><mi>tan</mi><mo>⁡</mo><mn>45</mn><mi mathvariant="normal">°</mi><mo>=</mo><mfrac><mi>x</mi><mn>13</mn></mfrac></mrow><annotation encoding="application/x-tex">\tan45\degree=\frac{x}{13}</annotation></semantics></math>tan45°=13x​

<math><semantics><mrow><mi>sin</mi><mo>⁡</mo><mtext> </mtext><mi>Z</mi><mo>=</mo><mfrac><mn>5</mn><mn>13</mn></mfrac></mrow><annotation encoding="application/x-tex">\sin\ Z=\frac{5}{13}</annotation></semantics></math>sin Z=135​

<math><semantics><mrow><mfrac><mn>20</mn><mn>12</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{20}{12}</annotation></semantics></math>1220​

<math><semantics><mrow><mi>sec</mi><mo>⁡</mo><mo>=</mo><mfrac><mrow><mi>a</mi><mi>d</mi><mi>j</mi><mi>a</mi><mi>c</mi><mi>e</mi><mi>n</mi><mi>t</mi></mrow><mrow><mi>o</mi><mi>p</mi><mi>p</mi><mi>o</mi><mi>s</mi><mi>i</mi><mi>t</mi><mi>e</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\sec=\frac{adjacent}{opposite}</annotation></semantics></math>sec=oppositeadjacent​

&nbsp;<math><semantics><mrow><mi>csc</mi><mo>⁡</mo><mo>=</mo><mfrac><mrow><mi>a</mi><mi>d</mi><mi>j</mi><mi>a</mi><mi>c</mi><mi>e</mi><mi>n</mi><mi>t</mi></mrow><mrow><mi>o</mi><mi>p</mi><mi>p</mi><mi>o</mi><mi>s</mi><mi>i</mi><mi>t</mi><mi>e</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\csc=\frac{adjacent}{opposite}</annotation></semantics></math>csc=oppositeadjacent​&nbsp;&nbsp;

<math><semantics><mrow><mi>cot</mi><mo>⁡</mo><mo>=</mo><mfrac><mrow><mi>a</mi><mi>d</mi><mi>j</mi><mi>a</mi><mi>c</mi><mi>e</mi><mi>n</mi><mi>t</mi></mrow><mrow><mi>o</mi><mi>p</mi><mi>p</mi><mi>o</mi><mi>s</mi><mi>i</mi><mi>t</mi><mi>e</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\cot=\frac{adjacent}{opposite}</annotation></semantics></math>cot=oppositeadjacent​

<math><semantics><mrow><mi>sin</mi><mo>⁡</mo><mtext> </mtext><mn>38</mn><mi mathvariant="normal">°</mi><mtext> </mtext><mo>=</mo><mtext> </mtext><mfrac><mi>h</mi><mn>15</mn></mfrac></mrow><annotation encoding="application/x-tex">\sin\ 38\degree\ =\ \frac{h}{15}</annotation></semantics></math>sin 38° = 15h​

<math><semantics><mrow><mi>sin</mi><mo>⁡</mo><mtext> </mtext><mi>A</mi><mo>=</mo><mfrac><mrow><mi>o</mi><mi>p</mi><mi>p</mi><mi>o</mi><mi>s</mi><mi>i</mi><mi>t</mi><mi>e</mi></mrow><mrow><mi>a</mi><mi>d</mi><mi>j</mi><mi>a</mi><mi>c</mi><mi>e</mi><mi>n</mi><mi>t</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\sin\ A=\frac{opposite}{adjacent}</annotation></semantics></math>sin A=adjacentopposite​

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