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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

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.continue

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.continue

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*.