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- https://math.libretexts.org/Courses/Highline_College/Math_142%3A_Precalculus_II/04%3A_Trigonometric_Identities_and_Equations/4.05%3A_Solving_Trigonometric_EquationsIn earlier sections of this chapter, we looked at trigonometric identities. Identities are true for all values in the domain of the variable. In this section, we begin our study of trigonometric equat...In earlier sections of this chapter, we looked at trigonometric identities. Identities are true for all values in the domain of the variable. In this section, we begin our study of trigonometric equations to study real-world scenarios such as the finding the dimensions of the pyramids.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/05%3A_Trigonometric_Functions/5.R%3A_Trigonometric_Functions_(Review)We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another...We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another way to define trigonometric functions using properties of right triangles.
- https://math.libretexts.org/Courses/Las_Positas_College/Math_39%3A_Trigonometry/01%3A_Trigonometric_Functions/1.R%3A_Trigonometric_Functions_(Review)We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another...We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another way to define trigonometric functions using properties of right triangles.
- https://math.libretexts.org/Courses/Coastline_College/Math_C120%3A_Trigonometry_(Tran)/02%3A_Periodic_Functions/2.04%3A_Inverse_Trigonometric_FunctionsIn this section, we will explore the inverse trigonometric functions. Inverse trigonometric functions “undoes” what the original trigonometric function “does,” as is the case with any other function a...In this section, we will explore the inverse trigonometric functions. Inverse trigonometric functions “undoes” what the original trigonometric function “does,” as is the case with any other function and its inverse. In other words, the domain of the inverse function is the range of the original function, and vice versa.
- https://math.libretexts.org/Courses/Coastline_College/Math_C120%3A_Trigonometry_(Tran)/01%3A_Trigonometric_Functions/1.R%3A_Trigonometric_Functions_(Review)We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another...We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another way to define trigonometric functions using properties of right triangles.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/Professor's_Playground/MAT_206.5_Intermediate_Algebra_and_Precalculus_alpha/5%3A_Trigonometric_Functions/5.4%3A_Right_Triangle_TrigonometryWe have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another...We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another way to define trigonometric functions using properties of right triangles.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q1/01%3A_Functions_and_Graphs/1.04%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://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.13%3A_Trigonometric_Functions/1.13.R%3A_Trigonometric_Functions_(Review)We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another...We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another way to define trigonometric functions using properties of right triangles.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.06%3A_Periodic_Functions/1.6.R%3A_Periodic_Functions_(Review)16) Suppose the graph of the displacement function is shown in the Figure below, where the values on the x-axis represent the time in seconds and the y-axis represents the displacement in inch...16) Suppose the graph of the displacement function is shown in the Figure below, where the values on the x-axis represent the time in seconds and the y-axis represents the displacement in inches. 14) Graph the function f(x)=x1−x33!+x55!−x77! on the interval [−1,1] and compare the graph to the graph of f(x)=sinx on the same interval.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.05%3A_Trigonometric_Functions/1.5.R%3A_Trigonometric_Functions_(Review)We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another...We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another way to define trigonometric functions using properties of right triangles.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206_Precalculus/5%3A_Trigonometric_Functions/5.4%3A_Right_Triangle_TrigonometryWe have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another...We have previously defined the sine and cosine of an angle in terms of the coordinates of a point on the unit circle intersected by the terminal side of the angle. In this section, we will see another way to define trigonometric functions using properties of right triangles.