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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
9th-10th Foundation

### Trigonometry

Welcome to the only place where the essence of trigonometry is explained.

•  a right-triangle is specified by 2 independent parameters.

•  That means, if an angle and the length of a side is given, then one should be able to calculate the length of the other two sides.

•  What property one can use to calculate the above? For a given angle, the ratio of sides is a constant.

Thus, the ratio of sides comes into existence as sin, cos, tan etc. The thought-process is revolutionary and aweinspiring.

Beyond the definitions of trigonometric ratios, the following are covered.

•  trigonometric ratios for standard angles

•  trigonometric identities based on Pythagoras Theorem
(click for the list of lessons in this topic)

Trigonometric Ratios for Standard Angles

Learn something made astoundingly easy: Trigonometric ratios for standard angles, derived from

•  equilateral triangles 30^@ and 60^@,

•  isosceles right-triangles 45^@, and

•  a triangle with one-side zero 90^@ and 0^@.

Once the basis of standard angles is understood as the different triangles given above, the values of trigonometric ratios are very very easy to quickly calculate. No need to blindly memorize.

(click for the list of pages in the lesson)

The pages in this lesson are