Trigonometry · Triangle Trigonometry
Virginia SOL T.TT.1
Virginia SOL T.TT.1 is part of the Triangle Trigonometry strand in Trigonometry (Math). Under this Standards of Learning objective, students determine trigonometric ratios in right triangles and solve for missing sides and angles, including contextual problems. Below is what T.TT.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice T.TT.1 for the Virginia SOL test.
What SOL T.TT.1 means
Determine trigonometric ratios in right triangles and solve for missing sides and angles, including contextual problems.
Skills you’ll practice for T.TT.1
- Define and represent the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent) for an acute angle in a right triangle.
- Describe the relationships between side lengths in 30°-60°-90° and 45°-45°-90° special right triangles.
- Calculate missing sides of a right triangle using trigonometric ratios and the Pythagorean Theorem.
- Solve for missing angles in a right triangle using inverse trigonometric functions.
- Apply trigonometric ratios to solve contextual problems involving right triangles, including angles of elevation and depression.
- Use the Law of Sines to solve for missing sides and angles in right triangles.
- Use the Law of Cosines to solve for missing sides and angles in right triangles.
Key concepts covered by T.TT.1
- sine
- cosine
- tangent
- cosecant
- secant
- cotangent
- right triangle
- trigonometric ratios
- 30-60-90 triangle
- 45-45-90 triangle
- side ratios
- special right triangles
- Pythagorean Theorem
- missing side
- inverse trigonometric functions
- missing angle
- angles of elevation
- angles of depression
- contextual problems
- Law of Sines
- Law of Cosines
How to study and practice SOL T.TT.1
Start with a quick diagnostic to see whether T.TT.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 Triangle Trigonometry
- T.TT.2 — Find areas and solve for sides/angles in non-right triangles using the Law of Sines and Law of Cosines.
Frequently asked questions about SOL T.TT.1
What is Virginia SOL T.TT.1?
SOL T.TT.1 is a Trigonometry Standard of Learning in the Triangle Trigonometry strand. It expects students to determine trigonometric ratios in right triangles and solve for missing sides and angles, including contextual problems.
What skills does SOL T.TT.1 cover?
SOL T.TT.1 is assessed on 7 skills: define and represent the six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent) for an acute angle in a right triangle; describe the relationships between side lengths in 30°-60°-90° and 45°-45°-90° special right triangles; calculate missing sides of a right triangle using trigonometric ratios and the Pythagorean Theorem; solve for missing angles in a right triangle using inverse trigonometric functions; apply trigonometric ratios to solve contextual problems involving right triangles, including angles of elevation and depression; use the Law of Sines to solve for missing sides and angles in right triangles; use the Law of Cosines to solve for missing sides and angles in right triangles.
What strand of Trigonometry is SOL T.TT.1 in?
SOL T.TT.1 belongs to the Triangle Trigonometry reporting strand of the Trigonometry Virginia Standards of Learning.
How do I study and practice for SOL T.TT.1?
Start with a diagnostic to see whether T.TT.1 is already solid, then work the 7 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.