Unit 6 Worksheet 13 Finding Reference Angles Answers
We will now repeat this process for a 60o reference angle. 13 510 30 14 505 35 15 640 80 16 -305 55 17 -100 80 18 300 60 19 -350 10 20 185 5 21 -580 40 22 -400 40 Find a positive and a negative coterminal angle for each given angle.
Unit 6 Worksheet 13 Reference Angles Pdf
Decimal Top-It Student Reference Book p.
Unit 6 worksheet 13 finding reference angles answers. Home Link 6-13 English Español Selected Answers. The Reference Angle Theorem states that To find the value of a trigonometric function of any angle t. Students must find tiles with matching reference angles resulting in 12 matches total.
UNIT 6 WORKSHEET 17 AMP PER PS IIpdf 3313 KB. 1 Period____ k2E0R1b9U SKZuBtkaX jSrohfKtQwNacr_ej oLrLCez A tAPlBld VrightGsh arUeqszeUrEvaeydQ-1-Give the reference angle. Find 2 coterminal angles one positive and one negative for the following.
About This Quiz Worksheet. 11 185 545 12 17 π 36 161 π 36 Find a coterminal angle between 0 and 360. About this resourceThis document contains 24 tiles that test knowledge of finding reference angles in degrees and in radians.
A in terms of π b the rounded decimal equivalent round three decimal places 14. For the angle find the reference angle and sketch and in standard position. 13 π 12 10 250 State if the given angles are coterminal.
Worksheet by Kuta Software LLC-2-9 -315 x y 10 -370 x y 11 380 x y 12 260 x y Find the reference angle. UNIT 6 WORKSHEET 17 AMPLITUDE PERIOD PHASE SHIFT AND INITIAL INTERVAL. Unit 6 Progress Check.
Make sure that your answer matches the unit of measure given. X y where the terminal side of the 30o angle intersects the unit circle. Worksheet 13 KEY - Angles 61 1.
The triangle is a 30o-60o-90o. More Unit Circle Trig Outside Q1 and Reference Angles Find the exact value of each trigonometric function. Answers need to be in the same measure as the given angle.
Home Link 6-14 English Español. 120 is a Quadrant II angle coterminal with 480 and 240 x y 4 3 2 1 1 2 3 4 1 2 3 4 1 2 3 4 4. Find two values of e your calculator.
Identify the quadrant as well. You need to know how to find these angles for the quiz. Rewrite the original trig function with the reference angle.
9 an obtuse angle Y 10 an acute angle JIH 11 a right angle 3 12 a straight angle CDE. Make sure that your answer matches the unit of measure given. Student Reference Book p.
Determine the reference angle for the following. 7π 6 12. And 11 30 students find the reference and use it to evaluate the trig values of angles whose reference angles are 0 30 45 60 and 90 andor their radian equivalent.
How to evaluate trig functions using reference angles. 330 is a Quadrant IV angle coterminal with 690 and 30 x y 4 3 2 1 1 2 3 4 1 2 3 4 1 2 3 4 2. 5 E C 3 D 6 E G F 4 7 G E F 1 8 H J 3 I Draw and label an angle to fit each description.
- 3 5 8. 9π 4 4. 2π 15 5.
13π 60 Rewrite each angle in radian measure in the following ways. Name the vertex and sides of each angle. 3 4 7 4 tan 1 0 2 θ θ x 135 45 y 45 135 tan 7 3 cot 3 7 cos 3 58 sec 58 3.
13 330 14 435 15 640 16 442 Find a coterminal angle between 0 and 2222ππππ for each given angle. Find the exact values of all 6 trigonometric functions of the angle θ shown in the figure. What is the reference angle formed by the terminal side of each angle below.
Determine the function value for the associated reference angle t. 405 is a Quadrant I angle coterminal with 45 and 315 x y. 1 cos 240 2 tan -210 3 sin -150 4 sin -90 5 sin -180 6 cos -330 7 sin -315 8 tan 90 9 cos 300 10 tan 315 Use the given point on the terminal side of angle q to find the value of the trigonometric function indicated.
First youll need to determine the 3rd side using ab22 c2 Æ a225132 Æ a 12 So for the angle labeled θ ADJACENT 12 OPPOSITE 5 and HYPOTENUSE 13 opp 5 sin hyp 13 θ adj 12 cos hyp 13 θ opp 5 tan adj 12 θ hyp 13 csc opp 5 θ. The activity is designed for students to. This is the point 3 1 22 as shown below.
This quizworksheet contains practice problems designed to test your aptitude when it comes to mathematical actions having to do with reference angles and the unit circle. 17 11 π 3 18 35 π 18 19 15 π 4 20 19 π 12. We first draw a right triangle that is based on a 60o reference angle as shown below.
Tiles will be placed. Extending Understandings of Whole-Number Multiplication. Class you will be able to convert different units of angle measures find arc lengths and solve for the area of a sector.
1 - 10 have students only find reference angles. 1 x y 2 x y 3 x y 4 x y 5 x y 6. About This Quiz Worksheet.
Worksheet by Kuta Software LLC Algebra 2 Assignment 31 - Reference Angles and Evaluating Trig Functions Name_____ ID. Using the worksheet and quiz you can see what you know about identifying reference angles. 114 Rewrite each angle in degree measure.
We again want to find the values of x and y. Radian measure must be reduced to make matching more difficult. Depending on the quadrant in which t lies the answer will be either be or -.
1 N L M 2 C E D 3 Q S R 4 U S T Name each angle in four ways. 135 is a Quadrant III angle coterminal with 225 and 495 x y 4 3 2 1 1 2 3 4 1 2 3 4 1 2 3 4 3. Find the reference angle for the given angle.
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