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Answer:The ratios of the sides of a right triangle are called trigonometric ratios.

Trigonometric ratios are used to calculate the measures of one (or both) of the acute angles in a right triangle, if you know the lengths of two sides of the triangle.

Trigonometry formulas are sets of different formulas involving trigonometric identities, used to solve problems based on the sides and angles of a right-angled triangle. These trigonometry formulas include trigonometric functions like sine, cosine, tangent, cosecant, secant, cotangent for given angles.

Step-by-step explanation:

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  • Formula for trignometric ratios.

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The trignometric ratios are [tex]\downarrow[/tex][tex]\downarrow[/tex]

[tex]\begin{gathered}\begin{gathered}\begin{array}{||c|c|c||} \\ \rm sin \: A & \dfrac{\sf\:Opposite\: side\: of\: angle\: A }{\sf\:Hypotenuse \: } & \dfrac{\sf\:BC}{\sf\:AC} \\ \\ \rm cos \: A & \dfrac{ \sf\: Adjacent \:side \:of\: angle \:A }{\sf\: Hypotenuse} & \dfrac{\sf\: AB}{ \sf\: AC} \\ \\ \rm tan A & \dfrac{\sf\: Opposite \:side \:of \:angle\: A}{ \sf\: Adjacent \:side \:of \:angle \:A } & \dfrac{\sf\:BC}{ \sf\: AB}\\ \\ \rm cosec\: A & \dfrac{\sf\: Hypotenuse}{\sf\: Opposite\: side \:of\: angle\: A}& \dfrac{\sf\:AC}{ \sf\:BC } \\ \\ \rm sec A & \dfrac{\sf\: Hypotenuse}{ \sf\: Adjacent \:side\: of\: angle \:A}& \dfrac{\sf\:AC}{\sf\:AB}\\ \\ \rm cot A & \dfrac{\sf\: Adjacent \:side\: of \:angle \:A}{\sf\: Opposite\: side \:of\: angle\: A} & \dfrac{\sf\:AB}{ \sf\: BC} \end{array}\end{gathered}\end{gathered} \\ \\ - \bf \: Lucazz \: (brainly.com)[/tex]

  • Refer to the picture for better understanding.
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