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Right triangle trigonometry: sin, cos and tan worksheets Grade 11

Find sine, cosine and tangent from the sides of a right triangle.

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Free · Worked example · 17 problems · Answer key · US Letter

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How to do it

sin A = opposite ÷ hypotenuse, cos A = adjacent ÷ hypotenuse, tan A = opposite ÷ adjacent.

opposite 20, adjacent 21, hypotenuse 29:tan⁡A=2021\text{opposite }20,\ \text{adjacent }21,\ \text{hypotenuse }29:\quad \tan \text{A} = \dfrac{20}{21}
tan⁡A = opposite ÷ adjacent =2021\tan \text{A }=\ \text{opposite }\div \ \text{adjacent }= \dfrac{20}{21}

Example problems

  1. opposite 7, adjacent 24, hypotenuse 25:tan⁡A=\text{opposite }7,\ \text{adjacent }24,\ \text{hypotenuse }25:\quad \tan \text{A} =
  2. opposite 9, adjacent 40, hypotenuse 41:sin⁡A=\text{opposite }9,\ \text{adjacent }40,\ \text{hypotenuse }41:\quad \sin \text{A} =
  3. opposite 40, adjacent 9, hypotenuse 41:tan⁡A=\text{opposite }40,\ \text{adjacent }9,\ \text{hypotenuse }41:\quad \tan \text{A} =
  4. opposite 5, adjacent 12, hypotenuse 13:cos⁡A=\text{opposite }5,\ \text{adjacent }12,\ \text{hypotenuse }13:\quad \cos \text{A} =

Trigonometry

  1. Right triangle trigonometry: sin, cos and tan
  2. Special right triangles and exact trig values
  3. Converting degrees and radians
  4. The unit circle
  5. Amplitude and period
  6. The Pythagorean identity
  7. Simplifying trig expressions with identities
  8. Solving trigonometric equations
  9. The law of cosines
  10. The law of sines