Grade 12 Trig Identities & Equations Quiz

A free Grade 12 Trig Identities & Equations quiz. Play without signing up; sign in to save your score.

Grade 12 gradeMath subjectFree quiz

Grade 12 trigonometric identities are equations true for all allowed angles. Students use Pythagorean, reciprocal, and double-angle identities to simplify expressions and to solve equations. A proof of an identity rewrites one side into the other without assuming what was to be shown.

The Grade 12 Trig Identities & Equations quiz is free to play without signing up. Sign in to save scores. Classic has a timer; Trivi gives three hearts; Learn is untimed with no score.

What you practice

These are the Grade 12 Trig Identities & Equations skills this quiz is built around.

  • Apply sin²θ + cos²θ = 1 and the related tan and sec forms.
  • Simplify an expression with a double-angle or sum identity.
  • Solve a trigonometric equation on [0, 2π) after rewriting with an identity.

A useful tip

When you see 1 − sin²θ, replace it with cos²θ. Forcing a calculator decimal too early hides the identity that makes the algebra short.

Frequently asked questions

What does Grade 12 Trig Identities & Equations practice?

Practice includes: Apply sin²θ + cos²θ = 1 and the related tan and sec forms; Simplify an expression with a double-angle or sum identity; Solve a trigonometric equation on [0, 2π) after rewriting with an identity.

Is the Grade 12 Trig Identities & Equations quiz free?

Yes. This quiz is free to play without signing up. Sign in to save your scores and progress.

What game modes can I use?

Classic has a timer; Trivi gives three hearts; Learn is untimed with no score.