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## Do You Hate Trigonometry?

According to the conventional definition, “Trigonometry is that branch of mathematics which deals with the relations existing between the sides and the angles of a triangle”.

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

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

2. Begin by writing 1 identity on the back of 1 card. An example would be Sin2(theta)+Cos2(theta)=1. Now divide all terms by Sin2(theta). Do it yourself and see the result. Carefully copy your work on the back of an index card. Write down today’s date. This process will take a maximum of 15 minutes.

3. Next time divide all terms by Cos2(theta). Carefully note the work on the back of another index card and note the date.

4. Make similar divisions of other identities.

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

Let’s try to solve a simple problem based on the practical application of trigonometry:

Q) A kite flies at a height of 75 meters from the ground, attached to a rope inclined at an angle of 60 degrees from the horizontal. Find the length of the rope to the nearest meter.

Step 1: To start, first draw the required diagram according to the problem.

P

MO

Step 2: try to link the diagram to the given problem

State the necessary assumptions:

Let ‘P’ be the position of the kite, and MP = 75 meters (the height of the kite)

And the string will stand at point O, The angle

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