Trigonometry · Graphs of Trigonometric Functions

Virginia SOL T.GT.1

Virginia SOL T.GT.1 is part of the Graphs of Trigonometric Functions strand in Trigonometry (Math). Under this Standards of Learning objective, students graph and analyze trigonometric functions and apply them to represent periodic phenomena. Below is what T.GT.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice T.GT.1 for the Virginia SOL test.

What SOL T.GT.1 means

Graph and analyze trigonometric functions and apply them to represent periodic phenomena.

Skills you’ll practice for T.GT.1

  • Sketch the graph of the six parent trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) for at least a two-period interval.
  • Determine the domain, range, amplitude, period, and asymptote locations for a trigonometric function given a graph or equation.
  • Describe the effects of changing parameters (A, B, C, D) in the standard form of a trigonometric equation on the graph of the function using graphing technology.
  • Sketch the graph of a transformed sine, cosine, or tangent function written in standard form for at least a two-period interval.
  • Apply trigonometric functions and their graphs to represent periodic phenomena.

Key concepts covered by T.GT.1

  • parent trigonometric functions
  • graph
  • two-period interval
  • domain
  • range
  • amplitude
  • period
  • asymptotes
  • trigonometric function
  • parameter effects
  • standard form
  • graphing technology
  • transformed trigonometric function
  • periodic phenomena
  • trigonometric graphs

How to study and practice SOL T.GT.1

Start with a quick diagnostic to see whether T.GT.1 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

  • T.GT.2Graph the six inverse trigonometric functions.

Frequently asked questions about SOL T.GT.1

What is Virginia SOL T.GT.1?

SOL T.GT.1 is a Trigonometry Standard of Learning in the Graphs of Trigonometric Functions strand. It expects students to graph and analyze trigonometric functions and apply them to represent periodic phenomena.

What skills does SOL T.GT.1 cover?

SOL T.GT.1 is assessed on 5 skills: sketch the graph of the six parent trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) for at least a two-period interval; determine the domain, range, amplitude, period, and asymptote locations for a trigonometric function given a graph or equation; describe the effects of changing parameters (A, B, C, D) in the standard form of a trigonometric equation on the graph of the function using graphing technology; sketch the graph of a transformed sine, cosine, or tangent function written in standard form for at least a two-period interval; apply trigonometric functions and their graphs to represent periodic phenomena.

What strand of Trigonometry is SOL T.GT.1 in?

SOL T.GT.1 belongs to the Graphs of Trigonometric Functions reporting strand of the Trigonometry Virginia Standards of Learning.

How do I study and practice for SOL T.GT.1?

Start with a diagnostic to see whether T.GT.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.