For tougher angles like 22.5 degrees or 15 degrees, you want to. You actually don’t need a unit circle.

### Chapter 10 of book i of the ''almagest'' presents geometric theorems used for computing chords.

**How to find exact value of trig functions without calculator**. You also know that the sine and its. It stands for the all sine tangent cosine rule. It is intended to remind us that all trig ratios are positive in the first quadrant of a graph;

Use special triangles or the unit circle. Your first 5 questions are on us! In higher mathematics, we often notice that some things which are really easy to talk about but difficult to express rigorously have a property which is really easy to express rigorously but something that we probably wouldn't have thought of to begin with.

The easiest way to work with inverse trig functions is to have a chart handy with the exact values of the functions. Draw the angle, look for the reference angle. How to find the exact trigonometric values:

You've stumbled in to a very interesting question! Long before there were power series, in the second century a.d., ptolemy, a man who wrote in greek and probably lived in alexandria, created a table of values of what amounts to the sine function. The values of sine and cosine for these angles are quite easy to be saved in your memory.

Calculating exact values of sin, cos, tan without a calculator. How to use the trig ratios of the special angles to find exact values of trig expressions without a calculator, trigonometry and special angles triangles. Evaluating trigonometric functions without a calculator.

When you work with trigonometry a lot, you soon have the basic angles and their function values memorized. For simple angles like 45 or 60 degrees, you can simply draw a right triangle with a 45 or 60 degree angle and use elementary geometry. Find exact value of trig functions without calculator congratulations!

Only the sine and cosecant are positive in the. A calculator can be a powerful tool when taking trigonometry.

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