HS.F-TF

HS.F-TF

HS.F-TF.1Understand that the radian measure of an angle is the ratio of the length of the arc to the length of the radius of a circle.HS.F-TF.2Extend right triangle trigonometry to the four quadrants. (+) 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.HS.F-TF.3Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6. (+) Use the unit circle to express the values of sine, cosine, and tangent for π - x, π + x, and 2π -x, in terms of their values for x, where x is any real number.HS.F-TF.4(+)Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.HS.F-TF.5(+)Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.HS.F-TF.6(+)Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.HS.F-TF.7(+)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.HS.F-TF.8Prove the Pythagorean identity sin^2(ϴ) + cos^2(ϴ) = 1 and use it to find n(ϴ), cos(ϴ), or tan(ϴ) given sin(ϴ), cos(ϴ), or tan(ϴ)and the quadrant of the angle.HS.F-TF.9(+)Know and apply the addition and subtraction formulas for sine, cosine, and tangent.
Goblins

1-on-1 AI tutoring aligned to HS.F-TF. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →