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Name: Date: Geometry 9.4 Special Right Triangles Answer the following in simplified radical form. 9.5 Trigonometric Ratios Round answers to four decimal places. 9.5, continued Round answers to the nearest tenth. The hill itself (sloped part) is 52.6 ft. long. 9.6 Solving Right Triangles Round answers to the nearest tenth. 9.4 Special Right Triangles 9.5 Trigonometric Ratios 9.6 Solving Right Triangles If sin(A) = x, then sin-1(x) = mA If cos(A) = y, then cos-1(y) = mA If tan(A) = z, then tan-1(z) = mA 9.4 Answers Plug into the formulas! If necessary, isolate the variable and rationalize the denominator. For 30º-60º-90º, start by asking, “Which side am I given?” so you know which of the two formulas to use first. 9.5 Answers Sine, cosine, and tangent are just ratios; you will not need to use the SIN COS TAN buttons on the calculator! Just put the ratio itself (e.g., 4/5) into the calculator to get the decimal (e.g., 0.8). 9.6 Answers Given two sides: Use Pythagorean theorem to find third side; use inverse trig. to find one acute angle and subtract it from 90º to find the other acute angle. Given one side and one acute angle: Subtract the angle from 90º to find the other angle; use trig. to find the two sides.