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Trigonometric Ratio of Special Angles

Suitable for: Secondary 2 and above
Prerequisite: Basic Trigonometric Ratio

Special Angles & Their Trigonometric Ratios

These angles are commonly used in trigonometric problems and their corresponding Trigo ratio can be easily remembered just by using…your left hand!

Getting Started

Starting with your pinky, your fingers represent 0, 30, 45, 60 and 90 degrees respectively.

Example
Find the value for each of the following:

Sin 30°
Cos 30°
Tan 30°

Step 1: Bending fingers

To find the Trigonometric Value, first, bend the finger that represents the special angle which in our example is 30 degree

Step 2: Count your fingers with the relevant formula

For Sine
Count the number of fingers below your bent finger and simply square root that number and divide it by 2 to get the value of your Trigo ratio.

Et viola! We have got sin 30° = 1/2!

For Cosine
Count the fingers above your bent finger, square root that number and divide it by 2 to get the value of your trigonometric ratio.

Et viola! We have got cos 30° = (sqrt 3)/2!

For Tangent
While keeping your fingers bent, flip over to your backhand.
Then square root the number of fingers above the bent finger and divide it with the square root of the number of fingers below

Then square root the number of fingers above the bent finger and divide it with the square root of the number of fingers below.

Et viola! We have got tan 30° = 1/sqrt 3!

That's All For Now!

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