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 Trigonometry Trigonometric functions at related angles Using the geometric symmetry of the unit circle, some trigonometric functions can be established. You can calculate the trigonometric functions of an angle in the second, third or fourth quadrant using its ratio with the first quadrant. Complementary angles. Two angles are complementary if they add up to 90 degrees. If A and B are two angles where A+B=90º, that is, B=90º - A, we have: sinA = cos B, so that, sin A = cos(90º-A) cosA = sin B , so that, cosA=sin(90º-A) Similarly, tanA = cotB If sinA = 0.643 and cosA = 0.766 Calculate the sine, cosine and tangent of the complementary angle of A. Solution: Sine = Cosine = Tangent = (round the solution to thousandths)