Do You Hate Trigonometry?

A tuition singapore article for eimaths -The maths enrichment centre.

Accordingly to the conventional definition, "trigonometry is that branch of mathematics which deals with relations existing amongst the sides and angles of a triangle."

Not your cup of tea, huh? Try out the following steps:

1. Take index cards and cut them into small pieces. Small enough to keep in your pocket and large enough to write one single trigonometric identity clearly.

2. Start with writing 1 identity at the back of 1 index card. An example would be Sin2(theta)+Cos2(theta)=1. Now, divide all the terms by Sin2(theta). Do it your self and see the result. Neatly copy your working on the back of an index card. Write down today's date. This process will take up 15 minutes at the most.

3. Next time, divide all the terms by Cos2(theta). Neatly jot down the working at the back of another index card and put down the date.

4. Do similar divisions of other identities.

5. If you do this once a day for just 3 weeks, you will understand which formula to use when a trigonometry problem stares at your face the next time around. If you still have problems, you can always ask your teacher in school or you can refer the problem to an online tutor. A reasonable good online math tutor should be able to help.

Let us try solving out a simple problem based on practical application of trigonometry:

Q)A kite is flying at a height of 75 meters from the level ground, attached to a string inclined to an angle of 60 degree to the horizontal. Find the length of the string to the nearest meter.

Step1: to start with, first draw the required diagram according to the problem.

P

M O

Step2: Try relating the diagram with the given problem

Declare the necessary assumptions:

Let ' P' denote the position of the kite, and MP = 75 meters (the height of the kite)

And the string be held at the point O, The angle

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