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  • 5.R: Trigonometric Functions (Review)
    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.
  • 1.R: Trigonometric Functions (Review)
    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.
  • 8.3: Sum and Difference Identities
    https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/08%3A_Trigonometric_Identities_and_Equations/8.03%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 3.2: Sum and Difference Identities
    https://math.libretexts.org/Courses/Reedley_College/Trigonometry/03%3A_Trigonometric_Identities_and_Equations/3.02%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 2.5: Sum and Difference Identities
    https://math.libretexts.org/Courses/Fort_Hays_State_University/Review_for_Calculus/02%3A_Trigonometry/2.05%3A_Sum_and_Difference_Identities
    In this section, we will learn techniques that will enable us to solve useful problems. The formulas that follow will simplify many trigonometric expressions and equations. Keep in mind that, througho...In this section, we will learn techniques that will enable us to solve useful problems. The formulas that follow will simplify many trigonometric expressions and equations. Keep in mind that, throughout this section, the termformula is used synonymously with the word identity.
  • 9.2: Sum and Difference Identities
    https://math.libretexts.org/Bookshelves/Algebra/Algebra_and_Trigonometry_1e_(OpenStax)/09%3A_Trigonometric_Identities_and_Equations/9.02%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 1.R: Trigonometric Functions (Review)
    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.
  • 5.4: Right Triangle Trigonometry
    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_Trigonometry
    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.
  • 1.13.R: Trigonometric Functions (Review)
    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.
  • 1.6.R: Periodic Functions (Review)
    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.
  • 1.5.R: Trigonometric Functions (Review)
    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.

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