Trigonometry · Circular Trigonometry
Virginia SOL T.CT.1
Virginia SOL T.CT.1 is part of the Circular Trigonometry strand in Trigonometry (Math). Under this Standards of Learning objective, students determine angle measures, sketch angles, and find trigonometric values using circular trigonometry. Below is what T.CT.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice T.CT.1 for the Virginia SOL test.
What SOL T.CT.1 means
Determine angle measures, sketch angles, and find trigonometric values using circular trigonometry.
Skills you’ll practice for T.CT.1
- Define a radian as a unit of angle measure and relate radian measure to arc length in a circle.
- Convert between degree and radian measures for angles, including negative and positive rotations.
- Find positive and negative coterminal angles for a given angle.
- Identify the quadrant or axis on which the terminal side of an angle lies.
- Draw a reference right triangle given a point on the terminal side of an angle in standard position.
- Draw a reference right triangle given a trigonometric function value of an angle.
- Determine the value of any trigonometric function (sine, cosine, tangent, cosecant, secant, cotangent) given a point on the terminal side of an angle in standard position.
- Given one trigonometric function value, determine the other five trigonometric function values.
- Calculate the length of an arc of a circle in radians.
- Calculate the area of a sector of a circle.
Key concepts covered by T.CT.1
- radian
- arc length
- angle measure
- degree measure
- radian measure
- angle conversion
- coterminal angles
- positive rotation
- negative rotation
- terminal side
- quadrant
- axis
- reference triangle
- standard position
- trigonometric function value
- trigonometric function values
- reciprocal identities
- radians
- sector area
- circle
How to study and practice SOL T.CT.1
Start with a quick diagnostic to see whether T.CT.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.
Related Trigonometry standards in Circular Trigonometry
- T.CT.2 — Develop and apply properties of the unit circle to determine trigonometric function values.
Frequently asked questions about SOL T.CT.1
What is Virginia SOL T.CT.1?
SOL T.CT.1 is a Trigonometry Standard of Learning in the Circular Trigonometry strand. It expects students to determine angle measures, sketch angles, and find trigonometric values using circular trigonometry.
What skills does SOL T.CT.1 cover?
SOL T.CT.1 is assessed on 10 skills: define a radian as a unit of angle measure and relate radian measure to arc length in a circle; convert between degree and radian measures for angles, including negative and positive rotations; find positive and negative coterminal angles for a given angle; identify the quadrant or axis on which the terminal side of an angle lies; draw a reference right triangle given a point on the terminal side of an angle in standard position; draw a reference right triangle given a trigonometric function value of an angle; determine the value of any trigonometric function (sine, cosine, tangent, cosecant, secant, cotangent) given a point on the terminal side of an angle in standard position; given one trigonometric function value, determine the other five trigonometric function values; calculate the length of an arc of a circle in radians; calculate the area of a sector of a circle.
What strand of Trigonometry is SOL T.CT.1 in?
SOL T.CT.1 belongs to the Circular Trigonometry reporting strand of the Trigonometry Virginia Standards of Learning.
How do I study and practice for SOL T.CT.1?
Start with a diagnostic to see whether T.CT.1 is already solid, then work the 10 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.