Search
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/02%3A_Math_Review/2.11%3A_Vectors/2.11.01%3A_Review_of_Trigonometry\(\begin{align} \cos (α+β) &= \cos α \cos β −\sin α \sin β \\ \cos (α−β) &= \cos α \cos β+\sin α \sin β \\ \sin (α+β) &= \sin α \cos β+\cos α \sin β \\ \sin (α−β) &= \sin α \cos β−\cos α \sin β \\ \ta...cos(α+β)=cosαcosβ−sinαsinβcos(α−β)=cosαcosβ+sinαsinβsin(α+β)=sinαcosβ+cosαsinβsin(α−β)=sinαcosβ−cosαsinβtan(α+β)=tanα+tanβ1−tanαtanβtan(α−β)=tanα−tanβ1+tanαtanβ
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/6%3A_Applications_of_Newton/6.13%3A_Velocity_Acceleration_and_ForceThe rotational angle is a measure of how far an object rotates, and angular velocity measures how fast it rotates.
- https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/06%3A_Uniform_Circular_Motion_and_Gravitation/6.01%3A_Rotation_Angle_and_Angular_VelocityProjectile motion is a special case of two-dimensional kinematics in which the object is projected into the air, while being subject to the gravitational force, and lands a distance away. In this chap...Projectile motion is a special case of two-dimensional kinematics in which the object is projected into the air, while being subject to the gravitational force, and lands a distance away. In this chapter, we consider situations where the object does not land but moves in a curve. We begin the study of uniform circular motion by defining two angular quantities needed to describe rotational motion.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/05%3A_Uniform_Circular_Motion_and_Gravitation/5.02%3A_Rotation_Angle_and_Angular_VelocityProjectile motion is a special case of two-dimensional kinematics in which the object is projected into the air, while being subject to the gravitational force, and lands a distance away. In this chap...Projectile motion is a special case of two-dimensional kinematics in which the object is projected into the air, while being subject to the gravitational force, and lands a distance away. In this chapter, we consider situations where the object does not land but moves in a curve. We begin the study of uniform circular motion by defining two angular quantities needed to describe rotational motion.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/02%3A_Math_Review/2.09%3A_Vectors/2.9.01%3A_Review_of_Trigonometry\(\begin{align} \cos (α+β) &= \cos α \cos β −\sin α \sin β \\ \cos (α−β) &= \cos α \cos β+\sin α \sin β \\ \sin (α+β) &= \sin α \cos β+\cos α \sin β \\ \sin (α−β) &= \sin α \cos β−\cos α \sin β \\ \ta...cos(α+β)=cosαcosβ−sinαsinβcos(α−β)=cosαcosβ+sinαsinβsin(α+β)=sinαcosβ+cosαsinβsin(α−β)=sinαcosβ−cosαsinβtan(α+β)=tanα+tanβ1−tanαtanβtan(α−β)=tanα−tanβ1+tanαtanβ
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_1030%3A_General_Physics_I/05%3A_Uniform_Circular_Motion_and_Gravitation/5.3%3A_Velocity_Acceleration_and_ForceThe rotational angle is a measure of how far an object rotates, and angular velocity measures how fast it rotates.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/02%3A_Math_Review/2.08%3A_Functions/2.8.02%3A_Trigonometric_FunctionsTrigonometric functions are used to model many phenomena, including sound waves, vibrations of strings, alternating electrical current, and the motion of pendulums. In fact, almost any repetitive, or ...Trigonometric functions are used to model many phenomena, including sound waves, vibrations of strings, alternating electrical current, and the motion of pendulums. In fact, almost any repetitive, or cyclical, motion can be modeled by some combination of trigonometric functions. In this section, we define the six basic trigonometric functions and look at some of the main identities involving these functions.
- https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/5%3A_Uniform_Circular_Motion_and_Gravitation/5.3%3A_Velocity_Acceleration_and_ForceThe rotational angle is a measure of how far an object rotates, and angular velocity measures how fast it rotates.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/02%3A_Math_Review/2.08%3A_Functions/2.8.02%3A_Trigonometric_FunctionsTrigonometric functions are used to model many phenomena, including sound waves, vibrations of strings, alternating electrical current, and the motion of pendulums. In fact, almost any repetitive, or ...Trigonometric functions are used to model many phenomena, including sound waves, vibrations of strings, alternating electrical current, and the motion of pendulums. In fact, almost any repetitive, or cyclical, motion can be modeled by some combination of trigonometric functions. In this section, we define the six basic trigonometric functions and look at some of the main identities involving these functions.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/07%3A_Applications_of_Newton/7.13%3A_Velocity_Acceleration_and_ForceThe rotational angle is a measure of how far an object rotates, and angular velocity measures how fast it rotates.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/02%3A_Vectors_and_Math_Review_Topics/2.07%3A_Math_Review_of_Other_Topics/2.7.14%3A_Trigonometric_FunctionsLet P=(x,y) be a point on the unit circle and let θ be the corresponding angle . Since the angle θ and θ+2π correspond to the same point P, the values of the trigonometric function...Let P=(x,y) be a point on the unit circle and let θ be the corresponding angle . Since the angle θ and θ+2π correspond to the same point P, the values of the trigonometric functions at θ and at θ+2π are the same.
