Unit Circle & Applications

Below is the first quadrant of the unit circle. Fill in the appropriate values. The dot closest to the origin is for theDEGREE angle measure, the next dot out is for the RADIAN angle measure, and the dot on the circle is for the COORDINATE point. To type degrees, copy this symbol: °To type pi, copy this symbol: πTo type the coordinate points, copy the following: 1 √2 , √3 they are positive you will have to add the sign.A coordinate should be typed like this: (√2 √2 0° 0 (1, 0) 30° π 45° π 60° π 90° π (√3 1 (√2 √2 (1 √3 (0, 1) Below is the second quadrant of the unit circle. Fill in the appropriate values. The dot closest to the origin is for the DEGREE angle measure, the next dot out is for the RADIAN angle measure, and the dot on the circle is for the COORDINATE point. To type degrees, copy this symbol: °To type pi, copy this symbol: πTo type the coordinate points, copy the following: 1 √2 , √3 they are positive you will have to add the sign.A coordinate should be typed like this: (√2 √2 π 5π 3π 2π 120° (-1, 0) (-√3 1 (-√2 √2 (-1 √3 180° 150° 135° Below is the second quadrant of the unit circle. Fill in the appropriate values. The dot closest to the origin is for the DEGREE angle measure, the next dot out is for the RADIAN angle measure, and the dot on the circle is for the COORDINATE point. To type degrees, copy this symbol: °To type pi, copy this symbol: πTo type the coordinate points, copy the following: 1 √2 , √3 they are positive you will have to add the sign.A coordinate should be typed like this: (√2 √2 225° 240° 270° 210° 7π 5π 4π 3π (-1 -√3 (-√2 -√2 (-√3 -1 (0, -1) Below is the second quadrant of the unit circle. Fill in the appropriate values. The dot closest to the origin is for the DEGREE angle measure, the next dot out is for the RADIANangle measure, and the dot on the circle is for the COORDINATE point. To type degrees, copy this symbol: °To type pi, copy this symbol: πTo type the coordinate points, copy the following: 1 √2 , √3 they are positive you will have to add the sign.A coordinate should be typed like this: (√2 √2 300° 315° 330° 0° 5π 7π 11π 0 (1 -√3 (√2 -√2 (√3 -1 (1, 0) 1. Evaluate the unit circle values on the left and match with the answer on the right. cos(5π -√2 sin(5π -√3 cos(7π -√3 sin(5π 1 cos(2π -1 tan(3π undefined tan(3π -1 sin(π) 0 tan(2π) 0 2. State the desired value or measurement for each dot. The text box will minimize when you click off of it -- your answer will remain there. Be sure to include units. To type degrees, copy this symbol: °To type pi, copy this symbol: πTo type an exponent for units, copy the following: cm2 or type cm^2 π cm^2 60° π π cm 3. Find the equation of the line. Equation format: y = mx + bTo type pi, copy this symbol πTo type any radicals, copy the following: √If they are positive you will have to add the sign. y = √3x + 3 4. Find the coordinates of the points M, N, and P on the unit circle. If the value is not exact, round the coordinate three decimal places. If the coordinate has a radical, copy the following: √If they are positive you will have to add the sign.A coordinate should be typed like this:First Dot: M = ( , )Second Dot: N = ( , )Third Dot: P ( , ) M = (0.292, 0.956) N = (-0.985, -0.174) P = (0.602, -0.799) 5. Find 𝜃 for 0 ≤ θ≤ 2π if: a. cos𝜃 = -1 b. sin2𝜃 = 3 In the space below, show work (to the best of your ability) of your calculation for parts a and b.Clearly label each part and circle final answers. 6. Let me know your thoughts on today's activity.Rate your confidence in completion on a scale of 1 - 5, and let me know what questions you still have. Do you feel more confident with this than last week or earlier this week?