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2.11.1: Review of Trigonometry
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... $\begin{align} \cos (α+β) &= \cos α \cos β −\sin α \sin β \\ \cos (α−β) &= \cos α \cos β+\sin α \sin β \\ \sin (α+β) &= \sin α \cos β+\cos α \sin β \\ \sin (α−β) &= \sin α \cos β−\cos α \sin β \\ \tan (α+β) &= \frac{\tan α+\tan β}{1−\tan α \tan β} \\ \tan (α−β) &= \frac{\tan α− \tan β}{1+\tan α \tan β} \end{align}$
2.2: Right Angle Triangle Trigonometry
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/02%3A_Vectors_and_Math_Review_Topics/2.02%3A_Right_Angle_Triangle_Trigonometry
To be able to use these ratios freely, we will give the sides more general names: Instead of $x$ ,we will call the side between the given angle and the right angle the adjacent side to angle $t$ . (...To be able to use these ratios freely, we will give the sides more general names: Instead of $x$ ,we will call the side between the given angle and the right angle the adjacent side to angle $t$ . (Adjacent means “next to.”) Instead of $y$ ,we will call the side most distant from the given angle the opposite side from angle $t$ .
2.9.1: Review of Trigonometry
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... $\begin{align} \cos (α+β) &= \cos α \cos β −\sin α \sin β \\ \cos (α−β) &= \cos α \cos β+\sin α \sin β \\ \sin (α+β) &= \sin α \cos β+\cos α \sin β \\ \sin (α−β) &= \sin α \cos β−\cos α \sin β \\ \tan (α+β) &= \frac{\tan α+\tan β}{1−\tan α \tan β} \\ \tan (α−β) &= \frac{\tan α− \tan β}{1+\tan α \tan β} \end{align}$
2.8.2: Trigonometric Functions
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_Functions
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 ...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.
2.8.2: Trigonometric Functions
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_Functions
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 ...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.
2.7.14: Trigonometric Functions
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_Functions
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 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.
2.11.2: Right Angle Triangle Trigonometry
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/02%3A_Math_Review/2.11%3A_Vectors/2.11.02%3A_Right_Angle_Triangle_Trigonometry
To be able to use these ratios freely, we will give the sides more general names: Instead of $x$ ,we will call the side between the given angle and the right angle the adjacent side to angle $t$ . (...To be able to use these ratios freely, we will give the sides more general names: Instead of $x$ ,we will call the side between the given angle and the right angle the adjacent side to angle $t$ . (Adjacent means “next to.”) Instead of $y$ ,we will call the side most distant from the given angle the opposite side from angle $t$ .
2.9.2: Right Angle Triangle Trigonometry
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/02%3A_Math_Review/2.09%3A_Vectors/2.9.02%3A_Right_Angle_Triangle_Trigonometry
To be able to use these ratios freely, we will give the sides more general names: Instead of $x$ ,we will call the side between the given angle and the right angle the adjacent side to angle $t$ . (...To be able to use these ratios freely, we will give the sides more general names: Instead of $x$ ,we will call the side between the given angle and the right angle the adjacent side to angle $t$ . (Adjacent means “next to.”) Instead of $y$ ,we will call the side most distant from the given angle the opposite side from angle $t$ .
2.1: Review of Trigonometry
https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/02%3A_Vectors_and_Math_Review_Topics/2.01%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... $\begin{align} \cos (α+β) &= \cos α \cos β −\sin α \sin β \\ \cos (α−β) &= \cos α \cos β+\sin α \sin β \\ \sin (α+β) &= \sin α \cos β+\cos α \sin β \\ \sin (α−β) &= \sin α \cos β−\cos α \sin β \\ \tan (α+β) &= \frac{\tan α+\tan β}{1−\tan α \tan β} \\ \tan (α−β) &= \frac{\tan α− \tan β}{1+\tan α \tan β} \end{align}$

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