Hosted by Mr. Guthrie Trig Identities Coordinate Trig Trig Problems 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500 Definitions What is opposite, adjacent, and hypotenuse? Relative to the acute angle of a right triangle, the three sides of a right triangle are the ? Row 1, Col 1 What is 1? Simplify tan A cot A. 1,2 What is 241? Determine the value of r for the coordinates (-10, 8). 1,3 What is 11.5? A right triangle has an acute angle measuring 50 with an hypotenuse of length 15. Find the length of the opposite side to the nearest tenth. 1,4 What is sin A = opp/hyp, cos A = adj/hyp, and tan A = opp/adj? Define sin, cos, and tan by a right triangle with acute angle A. 2,1 What is sin2x + cos2x, sec2x – tan2x, and csc2x – cot2x? State the three Pythagorean Identities so that they all Equal 1. 2,2 What are sinA=5/13, cosA=-12/13, and tanA=-5/12? State the values of sine, cosine, and tangent whose coordinates are (-24, 10). 2,3 What is - 13/2? If tan = 3/2 and the terminal side of lies in Quadrant III, what is the value of sec ? 2,4 What is 1.3432? Use a calculator to evaluate the csc 4807 3,1 What is 3? If csc = 3 and sec = 32/4, what is sec (90 - )? 3,2 What is 60 and /3? Find the reference angle for 120 and 5/3? 3,3 What is = 210 and 330? Find two solutions for the equation that is between 0 and 360: sin = - ½ 3,4 What is quadrant IV? State the quadrant in which lies: cot > 0 and cos > 0 4,1 What is sin2? Simplify (1 + cos )(1 – cos ). 4,2 What is sin -17/6 = - ½, cos -17/6 = - 3/2, and tan -17/6 = 3/3? Evaluate the sine, cosine, and tangent of - 17/6 without using a calculator. 4,3 What is 235.8 feet? A guywire is stretched from the top of a 200-foot broadcasting tower to an anchor making an angle of 58 with the ground. How long is the wire? 4,4 What is 997/97? If cot = 9/4, what is cos ? 5,1 What is csc sec ? Simplify: sin cos cos sin 5,2 What is sec = - 2? The terminal side of lies on the line y = - x and in Quadrant II , find the value of sec by finding a point on the line. 5,3 What is 9.594? A ramp 20 feet in length rises to a loading platform that is 3 1/3 feet off the ground. Find the angle of elevation. 5,4