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Unit Circle & Trig Identities Flashcards

Sine, cosine and tangent at all sixteen standard unit-circle angles, plus Pythagorean, sum, double- and half-angle identities for precalculus and trigonometry.

Free to play in your browser — no account, no install. The first 30 cards are free forever. The deck opens with sin(0), cos(0), tan(0) and sin(π/6) and runs to 112 cards in all.

Flip freely. Nothing is scored — go round as many times as you like.

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82 more unit circle & trig identities cards

You are playing the first 30, free forever. Unlock all 112 for $2.99 once — no account, no renewal — or take every deck on the site with the Study Pack at $11.99 a month.

+82 more cards. One payment, yours forever. No account needed.

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Unit Circle & Trig Identities flashcards — the free 30

Every question and answer on the free cards, written out. Check them against your own textbook before you spend anything.

sin(0)
0
cos(0)
1
tan(0)
0
sin(π/6)
½
cos(π/6)
√3/2
tan(π/6)
√3/3 (= 1/√3)
sin(π/4)
√2/2
cos(π/4)
√2/2
tan(π/4)
1
sin(π/3)
√3/2
cos(π/3)
½
tan(π/3)
√3
sin(π/2)
1
cos(π/2)
0
tan(π/2)
undefined
sin(2π/3)
√3/2
cos(2π/3)
−½
tan(2π/3)
−√3
sin(3π/4)
√2/2
cos(3π/4)
−√2/2
tan(3π/4)
−1
sin(5π/6)
½
cos(5π/6)
−√3/2
tan(5π/6)
−√3/3
sin(π)
0
cos(π)
−1
tan(π)
0
sin(7π/6)
−½
cos(7π/6)
−√3/2
tan(7π/6)
√3/3

Unit Circle & Trig Identities flashcards — questions people ask

How many cards are in the Unit Circle & Trig Identities flashcard deck?
The Unit Circle & Trig Identities deck on PuzzlePage has 112 cards. The first 30 are free to play and free to download with no account; the remaining 82 unlock for $2.99 as a one-time payment, or with the $11.99-a-month Study Pack that covers every deck on the site. 112 cards: 48 exact values (16 standard angles × sin, cos, tan) and 64 identities, conversions and definitions. That is the whole unit-circle syllabus.
What is on the unit circle & trig identities flashcards?
Sine, cosine and tangent at all sixteen standard unit-circle angles, plus Pythagorean, sum, double- and half-angle identities for precalculus and trigonometry. Cards look like this: sin(0) → 0; cos(0) → 1. The deck is written for grades 10–12 and filed under maths.
Can I study unit circle & trig identities flashcards online for free?
Yes. The first 30 cards of the Unit Circle & Trig Identities deck play free in any web browser at puzzlepage.app, with no account, no app and no card details. It works on a phone, tablet, Chromebook, laptop or classroom projector. Practice mode flips through the cards with nothing scored; quiz mode makes you answer each card before it flips, times the run and scores it.
Are the unit circle & trig identities flashcards accurate?
Every card in the Unit Circle & Trig Identities deck was read and fact-checked by a subject-matter specialist before it went on sale, as was every other card on PuzzlePage — 5,420 cards across 30 decks. The audit found and fixed real defects, and one deck was withdrawn from sale entirely rather than shipped with a known problem. That is the difference from a user-generated flashcard site, where the cards are whatever a stranger typed and nobody is accountable for them.
Can I print the unit circle & trig identities flashcards?
Yes. The Unit Circle & Trig Identities cards are available as a printable double-sided PDF to cut up, as well as playable in the browser. The first 30 cards are free to download; the full 112-card printable is included in the $11.99-a-month Study Pack.
How should I use the Unit Circle & Trig Identities deck to revise?
Start in practice mode and go through the Unit Circle & Trig Identities deck once without scoring, to find out which cards you already know — the deck is dealt in a different order every time you open it, so you are recalling the card rather than its position. Then switch to quiz mode, which times and scores the run and lets you re-run only the cards you missed. Use the "flip deck" control to swap which side is the question: recognising an answer is much easier than producing one, so a deck you find easy one way round is usually the harder and more useful drill the other way. Two or three short sessions across a week beat one long one, which is the whole reason flashcards work.
What grade level are the unit circle & trig identities flashcards for?
The Unit Circle & Trig Identities deck is written for grades 10–12. Because the cards are plain term-and-answer pairs, they are also used outside that band — by adults revising maths, and by teachers running them as a whole-class starter on a projector.

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All 30 decksEvery ready-made deck on the site, free to start.Browse the shelfPrint this deck insteadThe same 112 cards as double-sided cards to cut up.See the printable