TRIGNOMETRY

Question 1

Triangle sides labels
Hypotenuse
Opposite
Adjacent

Answer 1

Hypotenuse (H) = Longest side, opposite right angle
Opposite (O) = Side opposite angle θ
Adjacent (A) = Side next to θ, not hypotenuse

Question 2

SOH CAH TOA Formulas

Answer 2

sin θ = Opposite / Hypotenuse
cos θ = Adjacent / Hypotenuse
tan θ = Opposite / Adjacent

✏️ Use when angle is given to find a missing side

Question 3

Finding a Missing Angle (θ)

If Opp & Hyp → θ =
If Adj & Hyp → θ
If Opp & Adj → 0

Answer 3

If Opp & Hyp → θ = sin⁻¹(Opp / Hyp)
If Adj & Hyp → θ = cos⁻¹(Adj / Hyp)
If Opp & Adj → θ = tan⁻¹(Opp / Adj)

✏️ Use SHIFT + sin/cos/tan on calculator

Question 4

General Process

Answer 4

1. Label triangle: O, A, H
   
   2. Choose SOH / CAH / TOA
   3. Substitute values
   4. Solve for missing side or angle
   5. Use calculator if needed