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Geometry practice

Trigonometric Ratios Worksheets

Find sine, cosine and tangent from labelled right triangles and give simplified ratios.

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Use the named angle to identify each side before forming a ratio.

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Start from the named angle

Opposite and adjacent depend on the reference vertex. The hypotenuse is always opposite the right angle.

Learning objective

What this activity builds

Identify opposite, adjacent and hypotenuse relative to a stated angle.

Worked example

A right triangle has opposite side 3, adjacent side 4 and hypotenuse 5. Find sin A.

3/5.

Sine is opposite divided by hypotenuse, so sin A = 3/5.

Teaching notes

Make the practice count

  • The hypotenuse is opposite the right angle.
  • Opposite and adjacent change when the reference angle changes.
  • Simplify the final ratio.

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Choose numeric, symbolic or mixed side labels and the triangle orientation.

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Math SheetNameScoreTeacherDateTrigonometric RatiosUse the named acute angle to write the requested sine, cosine, or tangent ratio. Simplify numeric ratios.1.Find cos(A).485573ABCcos A =2.Find tan(B).pqrABCtan B =Diagrams are not to scale. Use degree mode.math-sheet.comPage 1 of 4
Math SheetNameScoreTeacherDateTrigonometric RatiosUse the named acute angle to write the requested sine, cosine, or tangent ratio. Simplify numeric ratios.3.Find sin(A).51213ABCsin A =4.Find sin(B).pqrABCsin B =Diagrams are not to scale. Use degree mode.math-sheet.comPage 2 of 4
Math SheetNameScoreTeacherDateTrigonometric RatiosUse the named acute angle to write the requested sine, cosine, or tangent ratio. Simplify numeric ratios.5.Find tan(A).486480ABCtan A =6.Find cos(B).pqrABCcos B =Diagrams are not to scale. Use degree mode.math-sheet.comPage 3 of 4
Math SheetNameScoreTeacherDateTrigonometric RatiosUse the named acute angle to write the requested sine, cosine, or tangent ratio. Simplify numeric ratios.7.Find sin(A).pqrABCsin A =8.Find tan(B).204852ABCtan B =Diagrams are not to scale. Use degree mode.math-sheet.comPage 4 of 4

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