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Functions: Trigonometric Functions

207 preguntas11 habilidades

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
 Pronto habrá nuevas habilidades para este estándar.
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
 Pronto habrá nuevas habilidades para este estándar.

HSF-TF.A.3

12 preguntas1 habilidad
Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.
Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
 Pronto habrá nuevas habilidades para este estándar.

HSF-TF.B.5

58 preguntas3 habilidades
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

HSF-TF.B.6

18 preguntas1 habilidad
Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.

HSF-TF.B.7

73 preguntas4 habilidades
Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.

HSF-TF.C.8

20 preguntas1 habilidad
Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.

HSF-TF.C.9

44 preguntas2 habilidades
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.