R8. If a point on the unit circle in the fourth quadrant that has angle measure...
1. Find the angle of smallest positive measure coterminal with an angle of the given measure: a. 520 b. - 75 2. Points A (1,0) and B (.6,-.8) are points on a unit circle O. If the measure of angle AOB = 0 {w/ a line in the middle} Find a. sin 0 b. cos 0 c. tan 0
3 12 3. If sin = and angle a terminates in the second quadrant and tan y = 5 and angle y 5 terminates in the first quadrant, then find the exact value of the following: A. cos(inty) B. sin(y - 3) C. tan-y) 7T COS." sin 4. Write each of the following as a single trigonometric function: TT A sin cos 12 12 tan-tany B 1 + tan 4 tany 5. Expand and simplify: sin ( x - 3...
Consider the angle shown below that has a radian measure of θ (where θ > 0). A circle is centered at the angle's vertex, and the terminal point is shown. Suppose cos(θ) = -0.848 and sin(θ) = -0.53. a. What is the measure of the terminal point's vertical distance above the center of the circle in units of the radius of the circle? b. What is the measure of the terminal point's horizontal distance to the right of the center of the...
7. (*) We draw randomly a point in the unit circle in the following way: first draw an angle Θ uniformly in [0.27) and then draw independently a radius R uniformly in [0, 1]. Let X R cos Θ and Y-R sin Θ be the corresponding Cartesian coordinates. (a) Give the joint pdf of R and Θ. matrix of Jacobi) of the trans (b) Determine the Jacobiadeterminant of the formation - r sin θ (c) Derive the joint pdf of...
Enter the coordinates of the point on the unit circle at the given angle. 180° ([?], [ ] Enter
Answer the following questions 38. In which quadrant is the terminal side of a 455 angle? 39. In which quadrant is the terminal side of a -135° angle 40. Which of the angles is coterminal with an 80° angle? a. 440 b. 280 c.-160 d. -85 41. Convert-270 to radian measure. 42, write the equation in standard form, y = x2-10x + 4, 43. Find the midpoint of the line between (2, 8) and (4, 6). 44. Convert to degree...
2. Angel is in fourth (IV) quadrant and cose = 13. Use the Pythagorean identity to find the values of sin and to the nearest tenth of a degree. (A) sin 0 = and e 301° (B) sin 0 = and 0 = 59° (C) sin 8 = - and 0 = 301° (D) sin 8 = - and e = 59° 3. The straight line y = - 3x forms an angle with the negative x-axis in the second...
#2, #3, #4. NOT #1. thank you! 1. Find the quadrant and reference angle associated with 2. For the given functions find without using a calculator: a. Quadrant in which the angle is located b. Reference angle c. The exact value of the trigonometric function a). sin(225) the rotation, sketch the diagram and find the associated point (x, y) on the unit circle. 11T 6 b). cos 3. Solve the oblique triangle with the given characteristics 4. a. Convert the...
el 37-40 Quadrant in which an Angle Lies Find the quadrant in which 0 lies from the information given. 37. sin 0 <0 and cos e o ( 38. tan <0 and sine < 0
If tan x = -and x is in the fourth quadrant, find the following values. (a) sin (1) (b) cos (3) (c) tan(2x)