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Published byLydia Anthony Modified over 9 years ago
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100 200 400 300 400 Definitions Trig IdentitiesCoordinate Trig Trig Problems 300 200 400 200 100 500 100
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Row 1, Col 1 Relative to the acute angle of a right triangle, the three sides of a right triangle are the ? What is opposite, adjacent, and hypotenuse?
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1,2 Simplify tan A cot A. What is 1?
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1,3 Determine the value of r for the coordinates (-10, 8). What is 2 41?
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1,4 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. What is 11.5?
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2,1 Define sin, cos, and tan by a right triangle with acute angle A. What is sin A = opp/hyp, cos A = adj/hyp, and tan A = opp/adj?
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2,2 State the three Pythagorean Identities so that they all Equal 1. What is sin 2 x + cos 2 x, sec 2 x – tan 2 x, and csc 2 x – cot 2 x?
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2,3 State the values of sine, cosine, and tangent whose coordinates are (-24, 10). What are sinA=5/13, cosA=-12/13, and tanA=-5/12?
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2,4 If tan = 3/2 and the terminal side of lies in Quadrant III, what is the value of sec ? What is - 13/2?
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3,1 Use a calculator to evaluate the csc 48 07 What is 1.3432?
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3,2 If csc = 3 and sec = 3 2/4, what is sec (90 - )? What is 3?
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3,3 Find the reference angle for 120 and 5 /3? What is 60 and /3?
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3,4 Find two solutions for the equation that is between 0 and 360 : sin = - ½ What is = 210 and 330 ?
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4,1 State the quadrant in which lies: cot > 0 and cos > 0 What is quadrant IV?
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4,2 Simplify (1 + cos )(1 – cos ). What is sin 2 ?
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4,3 Evaluate the sine, cosine, and tangent of - 17 /6 without using a calculator. What is sin -17 /6 = - ½, cos -17 /6 = - 3/2, and tan -17 /6 = 3/3?
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4,4 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? What is 235.8 feet?
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5,1 If cot = 9/4, what is cos ? What is 9 97/97?
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5,2 Simplify: What is csc sec ?
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5,3 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. What is sec = - 2?
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5,4 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. What is 9.594 ?
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