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4.1 trig ratios

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This document defines and explains the three main trigonometric ratios - sine, cosine, and tangent - which are used to solve for missing angles and sides of right triangles. It identifies the hypotenuse as the longest side, and the adjacent and opposite sides in relation to a given angle. The document provides the ratio equations and examples of calculating trig ratios for various angles in a right triangle.

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4.1 trig ratios
Trigonometric ratios are used with right triangles to solve for missing angles and/or sides. The 3 main trig ratios are: Sine (sin) Cosine (cos) Tangent (tan)
Sides are labeled in reference to a certain angle, often 慮 (theta) or x. Hypotenuse: the longest side. Always across from the right angle. Adjacent: side that is touching the angle 慮. Opposite: side across from the angle 慮.
name ratio equation
Set up ratio using the correct side lengths. Reduce if possible. - OR - Divide and round your decimal answer. *Depends on the directions given.*
Find the value of each trig ratio. sin A = cos A = tan A = sin B = cos B = tan B =
Find the value of each trig ratio to the nearest ten-thousandth. sin R = cos R = tan S =

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4.1 trig ratios

  • 2. Trigonometric ratios are used with right triangles to solve for missing angles and/or sides. The 3 main trig ratios are: Sine (sin) Cosine (cos) Tangent (tan)
  • 3. Sides are labeled in reference to a certain angle, often 慮 (theta) or x. Hypotenuse: the longest side. Always across from the right angle. Adjacent: side that is touching the angle 慮. Opposite: side across from the angle 慮.
  • 5. Set up ratio using the correct side lengths. Reduce if possible. - OR - Divide and round your decimal answer. *Depends on the directions given.*
  • 6. Find the value of each trig ratio. sin A = cos A = tan A = sin B = cos B = tan B =
  • 7. Find the value of each trig ratio to the nearest ten-thousandth. sin R = cos R = tan S =