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. 
CS

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What does Pythagoras's theorem state?


There are 30 kg of potatoes in a wheelbarrow. A farmer adds some carrots into the wheelbarrow. The total weight of the wheelbarrow now is 110 pounds. What weight of carrots did the farmer put into the wheelbarrow? 1 kg = 2.2 pounds


How do I know whether to add or minus in Pythagoras's theorem?


Complete this substitution question: x^​3 - 25 = 103 - x^​3