tricks in trigonometry

What are the tips to solve trigonometry problems fast?

14 Answers

Shilpesh Sinha, love to solve problem with common sense

Updated 17 Apr 2016

I read all the answers and everyone gave relation of finding values of angle(tan, cot etc ) with respect to sin .
now how to easily remember the value of sin theta for angles like 0,30,60,45 and 90.
see the pic below its a very useful shortcut(many of you might be knowing it already)

1. Write all the angles and above each mark them by number shown in the fig

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2. Now divide all the number by 4(not the angles)

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3. Which gives following after simplification :-

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4. Now take the square root of each number

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5. Solving the square root gives the following.:

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voila...!!!!! Which are the values of sin theta for particular angles. :)

You can easily sum up the whole 5 steps in a single step and now even if you forget the values of particular angle you can do the calculation right there even in your mind.

reversing the order will give the values for cos theta.
and then use other trigonometry relation to find the values for tan,cot,cosec and sec.