Unit Circle Trigonometry Worksheet Pdf With Answers Free worksheet pdf and answer key on Unit Circle 25 scaffolded questions that start relatively easy and end with some real challenges Plus model problems explained step by step
These printable unit circle revision worksheets feature exercises to determine the values of the primary and reciprocal trigonometric functions using the given coordinate point of the terminal side in the unit circle Download the set Related Worksheets Pythagorean Theorem Trigonometric Ratios of Allied Angles Trigonometry Charts Trigonometry Functions and Unit Circle TEST STUDY GUIDE Test covers Given a right triangle find 6 trig functions Given the value of one trig ratio find the other 5 trig ratios Given a point on the unit circle find the 6 trig ratios relative to the angle formed Solve right triangles Find arc lengths and sector areas of circles
Unit Circle Trigonometry Worksheet Pdf With Answers
Unit Circle Trigonometry Worksheet Pdf With Answers
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A B 100 70 Trig Section 1 2 The Trigonometric Ratios MULTIPLE CHOICE Find the value of the indicated trigonometric function of the angle in the figure Give an exact answer with a rational denominator Find cot Use the given triangles to evaluate the expression Rationalize all denominators 8 tan 30 9 csc 60 10 tan 45 11 cot 60 Plus each one comes with an answer key Law of Sines and Cosines Worksheet This sheet is a summative worksheet that focuses on deciding when to use the law of sines or cosines as well as on using both formulas to solve for a single triangle s side or angle Law of Sines Ambiguous Case of the Law of Sines Law Of Cosines
1 y x 60 Find a coterminal angle between 0 and 360 3 585 2 Date Period y 45 x 4 450 5 180 6 225 Find the exact value of each trigonometric function 7 sin q 8 sin q 9 sin q 450 x x 510 10 cos q y 240 x 11 sin 660 y 30 x 12 cos 600 13 cos 120 14 cos 720 Example 1 Convert 120 to radians Step 1 If starting with degrees 180 should be on the bottom of the conversion factor so that the degrees cancel 120 180 The Standard Unit Circle The Unit Circle by Triangles Another method for solving trigonometric functions is the triangle method
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50 Trigonometry Unit Circle Worksheet Answers
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Exact Trig Values of Special Angles Date Period Find the exact value of each trigonometric function 1 tan x y 60 2 sin x y 225 3 sin x y 90 4 cos x y 150 5 cos x y 90 6 tan x y 240 7 cos x y 135 8 tan x y 150 1 Worksheet by Kuta Software LLC Pre Calculus Unit Circle Trigonometry Practice Name Date Period G t2T0Z1O6z qKougtkaR zSVokfttDwuaMraeu wLOLSCg l j FAOlOlE grli gjh tnsK lrxeCsdedrAvqekdD Show that the point is on the unit circle 1 2 3 5 3 show that x2 y2 1 Find the missing coordinate of P using the fact that P lies
1 cos 1 E P cos 1 sin 1 Answer C Justification Draw a right triangle by connecting the origin to point P and drawing a perpendicular line from P to the x axis This triangle has side lengths x1 y1 and hypotenuse 1 The trigonometric ratios sine P x1 y1 and cosine for this triangle are x The Unit Circle sec cot 2Tt 900 Tt 3Tt 2 2700 Positive sin cos tan sec csc cot Negative none 600 450 300 2 2 1500 1800 21 43 1200 1350 2Tt 3600 300 1 ITC 3150 2250 2400 2 2 Positive tan cot 3000 2 Positive cos sec Negative sin tan csc cot com 1 2 Negative sin cos sec csc EmbeddedMath
Trigonometry Unit Circle Worksheet Answers
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Unit Circle Trigonometry Worksheet Pdf With Answers - The definition of a unit circle is x2 y2 1 where the center is 0 0 and the radius is 1 An angle of 1 radian is an angle at the center of a circle measured in the counterclockwise direction that subtends an arc length equal to 1 radius Notice that the angle does not change with the radius