If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

STANDARDS

 > 

US-MS

Math

Mississippi Math

Advanced Mathematics Plus: Functions: Trigonometric Functions (F-TF)

Extend the domain of trigonometric functions using the unit circle

F-TF.3

Mostly covered
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 π-x, π+x, and 2π–x in terms of their values for x, where x is any real number.

F-TF.4

Fully covered
Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Model periodic phenomena with trigonometric functions

F-TF.5

Fully covered
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

F-TF.6

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

F-TF.7

Mostly covered
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.

Prove and apply trigonometric identities

F-TF.9

Fully covered
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.