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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 θ (“theta”) or x.
Hypotenuse: the longest side.
Always across from the right angle.
Adjacent: side that is
touching the angle θ.
Opposite: side
across from the
angle θ.
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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Trigonometric Ratios: Solving for Angles and Sides Using Sin, Cos, Tan

  • 1.
  • 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 θ (“theta”) or x. Hypotenuse: the longest side. Always across from the right angle. Adjacent: side that is touching the angle θ. Opposite: side across from the angle θ.
  • 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 =