Trigonometry · Identities and Equations

Virginia SOL T.IE.2

Virginia SOL T.IE.2 is part of the Identities and Equations strand in Trigonometry (Math). Under this Standards of Learning objective, students simplify and verify trigonometric identities using basic identities. Below is what T.IE.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice T.IE.2 for the Virginia SOL test.

What SOL T.IE.2 means

Simplify and verify trigonometric identities using basic identities.

Skills you’ll practice for T.IE.2

  • Use reciprocal identities to simplify trigonometric expressions.
  • Use Pythagorean identities to simplify and verify trigonometric identities.
  • Use sum and difference identities to simplify and verify trigonometric identities.
  • Use double-angle identities to simplify and verify trigonometric identities.
  • Use half-angle identities to simplify and verify trigonometric identities.
  • Apply sum, difference, and half-angle identities to evaluate trigonometric function values of non-special angles.

Key concepts covered by T.IE.2

  • reciprocal identities
  • simplification
  • Pythagorean identities
  • verification
  • sum identities
  • difference identities
  • double-angle identities
  • half-angle identities
  • non-special angles

How to study and practice SOL T.IE.2

Start with a quick diagnostic to see whether T.IE.2 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.IE.1Evaluate expressions involving trigonometric and inverse trigonometric functions.
  • T.IE.3Solve trigonometric equations and inequalities algebraically and graphically.

Frequently asked questions about SOL T.IE.2

What is Virginia SOL T.IE.2?

SOL T.IE.2 is a Trigonometry Standard of Learning in the Identities and Equations strand. It expects students to simplify and verify trigonometric identities using basic identities.

What skills does SOL T.IE.2 cover?

SOL T.IE.2 is assessed on 6 skills: use reciprocal identities to simplify trigonometric expressions; use Pythagorean identities to simplify and verify trigonometric identities; use sum and difference identities to simplify and verify trigonometric identities; use double-angle identities to simplify and verify trigonometric identities; use half-angle identities to simplify and verify trigonometric identities; apply sum, difference, and half-angle identities to evaluate trigonometric function values of non-special angles.

What strand of Trigonometry is SOL T.IE.2 in?

SOL T.IE.2 belongs to the Identities and Equations reporting strand of the Trigonometry Virginia Standards of Learning.

How do I study and practice for SOL T.IE.2?

Start with a diagnostic to see whether T.IE.2 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.