Step 1) Know how to identify Hypotenuse, Opposite Side and Adjacent Side.
Step 2) When you see RIGHT- ANGLED TRIANGE in your Maths exam, most likely you will need to use Pythagoras’ Theorem or Sine/Cosine/Tangent Ratio to solve the question.
Step 3) For Pythagoras’s Theorem, make sure you know how to ‘play around with the formula’, C^2=A^2 + B^2. An example looks like this
Find the unknown when
C^2 =8^2 + 6^2
10^2= A^2+ 6^2
Step 4) The Same for Sine/Cosine/Tangent Ratio, know how to ” play around with the formula”. The question may look like this.
Find X when Tan X= 5/12 or Tan 60= X/12 or Tan 60 = 12/x
An easier way to remember the formula is
TOA CAH SOH aka Big Foot Auntie in Hokien,
TOA= Tan (angle)= Opposite side/ Adjacent side.
CAH= Cos( angle)= Adjacent side/Hypotenuse
SOH= Sin(angle)= Opposite side/ Hypotenuse
Step 5) Before attempting Trigonometric Ratios question, always IDENTIFY THE O,A & H FIRST then you will have a clearer picture of which formula to use.
Step 6) For Angles of Elevation and Depression and Word Problems involving Trigonometric Ratios, most of the time I’d tell my student to ignore the long winded question, just find out what the question wants; What is the Unknown in that question and use Trigonometric Ratios to solve.
For NT Maths, the question is very straight forward unlike O-level and the diagram will be drawn for you.
To find out more about our NT Maths tuition schedule, click here