Appendix B

Trigonometry for AC Electronics

Trigonometry is a valuable mathematical tool for anyone who studies ac electronics. Trigonometry deals with angles and triangles, particularly the right triangle, which has one angle of 90°. An example of an electronics right triangle is shown in Fig. B-1. This example illustrates how resistance, reactance, and impedance are related in ac circuits. We know that resistance (R.) and reactance (X) are 90° apart, so their angle of intersection forms a right angle. We can use the law of right triangles, known as the Pythagorean theorem, to solve for the value of any side. This theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. We ...

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