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Finding Trig Values Without Calculator. Find exact values of trig functions how to use the unit circle to find exact values of trigonometric functions? The trig values of constructible angles (in the classic sense) can be written by composing integers using the usual arithmetic operations plus square root (of positive quantities).
Calculators only give approximate answers, no matter how many decimals it gives.
Whereas 3.141592653589793 from the calculator is considered an approximate value. Since 75 is the same as 30 + 45, and since 30° and 45° are both special angles for which we have already memorized the sine and cosine values, we can readily find the answer using another common identity Finding the value for all six trig functions for any angle by placing the 30°, 60°, 90° and 45°, 45°, 90° triangle on the coordinate plane, as well as understanding the coordinates on the unit circle for solving for trig. Whereas 3.141592653589793 from the calculator is considered an approximate value.
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