How do I know when to use sin, cos or tan?

  1. Check that your triangle is a right-angled triangle. Remember, you can only use pythagoras theorem or SOHCAHTOA on right-angled triangles.
  2. Label the sides O, H and A: opposite (the angle), hypotenuse (longest side), adjacent (to the angle). Label the opposite and hypotenuse first, that way you won't make a mistake on the adjacent which some students find confusing. 
  3. Cross out the irrelevant side and write out SOHCAHTOA
  4. Which combination do you have: OH, AH or OA? OH: use sine. AH: use cosine. OA: use tangent.
  5. Write out the formula relevant to the question: sin xo = O/H or cos xo = A/H or tan xo = O/A
  6. Substitute the values given in the question. There should only be one unknown. 
  7. Solve for the unknown by rearranging the equation. 
Camilla S. avatar
Answered by Camilla S. Maths tutor

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