Finding Reference Angles Worksheet

1 326 2 530 3 215 4 84 5 215 6 255 7 660 8 255 9 172 10 700 11 340 12 540 13 495 14 315 15 210 Find the measure of each angle. Comments -1 unit 6 worksheet 16 trig functions of any angle.

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5 Find the reference angle for -330.

Finding reference angles worksheet. Comments -1 unit 6 worksheet 14 trig functions of any angle. Gain practice in identifying the types of angles as a prelude to the huge. Subtract 360 or 180 which ever is closer from the angle if θ is in degrees.

1 x y 230 50 2 x y 25 π 18 7π 18 3 x y 7π 9 2π 9 4 x y 29π 18 7π 18 5 x y 31π 9 4π 9 6 x y 640 80 7 x y 43π 12 5π 12 8 x y 100 80 90 510 3 10 19π 18 π 18 11 13π 12 π 12 12 250 70 13 5π 6 π 6 14 13π 18 5π 18 Unit 6 Day 1 HW. 1 x y 230 50 2 x y 25 π 18 7π 18 3 x y 7π 9 2π 9 4 x y. Reference and Coterminal Angles Find a positive and a negative coterminal angle for each given angle.

For this example well use 28π9 2. 8 Find the reference angle for -150. Comments -1 unit 6 worksheet 15 trig functions of any angle.

1 280 x y 2 660 x y 3 590 x y 4 60 x y 5 320 x y Find the measure of each angle. Radians 180 degrees θ θ θ θ π θ 0 90Sketching several angles with their 300 θ 60 θ y x FIGURE 440 θ π 23 θ 23 y x FIGURE 441 225 and 135 are coterminal. When evaluating cosine and sine for the reference angle determine if each value is positive or negative by identifying the quadrant the terminal side is in.

Find the measure of each angle. This worksheet contains 30 reference angle graphsStudents must examine each graph and determine the reference angle of the angle given in the graphAnswers are also included on a separate documentPlease examine the screenshots of the worksheet to get an idea of the layout of the sheet and also an. 1 2 3 4 5 6 7 Name.

If θ is already between these values the reference angle is θ. Input your angle data to find the reference angle reference angle 80 How to Find a Reference Angle in Radians Finding your reference angle in radians is similar to identifying it in degrees. Comments -1 unit 6 worksheet 17 amplitude period phase shift and initial interval.

4 Find the reference angle for 300. Determine the function value for the associated reference angle t. Take the quiz to check your understanding of.

Coterminal Angles and Reference Angles Date_____ Period____ Find the reference angle. 65 360 295 65 360 295. 7 Find the reference angle for 7π4.

To find the value of sine and cosine at non-acute angles from 90 to 360 first draw the angle on the unit circle and find the reference angle. Find a positive and a negative coterminal angles to angle 65 65. Reference angles should be between 0 and 90 or between 0 and 2 π radians.

Depending on the quadrant in which t lies the answer will be either be or -. 1 x y 80-100 2 x y 60 1020 3 x y 50-130 4 x y 70 160 5 x y 20-290 6 x y 60-780 Draw an angle with the given measure in standard position. Affix the appropriate sign to the trig function or - depending which quadrant the angle.

A reference angle is formed by the terminal side and the x-axis and will therefore always be acute. 135 225 θ 45 θ y x FIGURE 442 reference angles may help reinforce the fact that the reference angle is the acute. 9 Find the reference angle for -π4.

How to evaluate trig functions using reference angles. Worksheet by Kuta Software LLC-2-Find the reference angle. Finding the reference angle for different types of angles Quadrant in.

If your angle is larger than 2π take away the multiples of 2π until you get a value thats smaller than the full angle. Use a protractor if you want to be more accurate. 6 x y 20 7 x y 25.

6 Find the reference angle for -240. The answer is included on the 3rd and 4th pages and marked in red. Find the reference angle for 120.

295 295 and a 435 435 are coterminal with a 65 65. Worksheet by Kuta Software LLC PreAP PreCalculus Angles and Coterminal Angles Name_____-1-Draw an angle with the given measure in standard position. Coterminal Angles and Reference Angles Example 1.

This is a multiple choice test. 9 x y-700 10 x y 170 11 x y 190 12 x y 100 13 x y 35p 12 14 x y 5p 6 15 x y 47p 18 16 x y 59p 18 17. Quiz Worksheet Goals.

Rewrite the original trig function with the reference angle. Find the reference angle for the given angle. 65 360 435 65 360 435.

Find the reference angle. 16 x y 80 17 x y 40. Unit 6 worksheet 13 finding reference angles.

You need to know how to find these angles for the quiz. Coterminal Angles and Reference Angles Date_____ Period____ Find the reference angle. Explore this printable angles worksheet package for free and learn to identify name and classify angles with a variety of exercises like identifying the parts of an angle naming angles and distinguishing between the interior and exterior points.

Subtract π or 2π which ever is closer from the angle if θ is in radians. This trigonometry quiz tests students understanding of reference angles coversions between radians and degrees and odd and even functions.

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