Αποτελέσματα Αναζήτησης
Practice Worksheet: The Unit Circle Fill in the blanks. 1. When a circle is divided into 8 equal sections, each central angle measures ___ __ __ degrees and ___ ____ radians. 2. All of the coordinates for special angles on the unit circle ca n be derived from the ___ ____ _ quadrant. 3. The angle whose terminal side passes through @ ¾ 7 6 á ? 5 6
(-1,0) i iii iv ii 2/3 1/2, 3/2 π − 3/4 2/2, 2/2 π − 5/6 3/2,1/2 π − 120! 135! 150! π 180! ()−+, π/2 (1,0) (0,1) /3 1/2, 3/2 π /4 2/2, 2/2 π /6 3/2, 1/ ...
Note that the text uses the simplest form fractions π π 180 and 180. Example C: Convert 0º, 30º, 45º, 60º, 90º and 180º to radians. answers: π π π π π, 2, 3, 4, 6 0, ; Note that 2 π and π radians, when placed on the unit circle, match what we know about right and straight angles. Example D: Convert 6 7, 4 3π π and 2 3π radians ...
The Unit Circle. Here you can download a copy of the unit circle. It has all of the angles in Radians and Degrees. It also tells you the sign of all of the trig functions in each quadrant. Or if you need, we also offer a unit circle with everything left blank to fill in.
Convert each degree measure into radians. 9) 120° 10) 300° 11) 60° 12) 240° 13) 150° 14) 315° Find the exact value of each trigonometric function. Remember: Cos is the x-coordinate on the Unit Circle. Sin (don't you whine!) is the y-coordinate on the Unit Circle. 15) sin 225° 16) sin 3π 2 17) sin 315° 18) cos 5π 3 19) sin 210° 20 ...
UNIT CIRCLE TRIGONOMETRY. The Unit Circle is the circle centered at the origin with radius 1 unit (hence, the “unit” circle). The equation of this circle is x. 2. y. 2 = 1 . A diagram of the unit circle is shown below: We have previously applied trigonometry to triangles that were drawn with no reference to any coordinate system.
M5-1 Unit Circle and Trig Identities • sines, cosines and tangents in terms of the unit circle • identities: tan θ = sin θ /cos θ, Pythagorean identity, sin θ = cos (90 – θ)
