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Pre-Calculus Accelerated

Pre-Calc

Unit 5 ยท Analytic trigonometry, taught the way class does it, one idea at a time


Test coming up

๐Ÿ“ Unit 5 Test Review

The review sheet, solved

All 23 problems from the teacher’s review: hints, step-by-step solutions, the traps, checklists, and a tap-to-read unit circle.

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๐Ÿ” Unit 5 Test Review · Round 2

23 new ones, same kinds

Done with the review sheet? The same 23 kinds of problems with new numbers, each with hints, a step-by-step solution and the trap.

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5.1 and 5.2 · Identities

๐Ÿงญ Lesson 1

The identities

Reciprocal, quotient, Pythagorean, cofunction, even and odd, and where each one comes from so you can rebuild it.

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๐Ÿงฉ Lesson 2

Simplifying and factoring

Trig as algebra in costume: factor first, trade identities second, add fractions, and the conjugate trick.

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โš–๏ธ Lesson 3

Verifying identities

The rules of the game, the five strategies from your notes, and every example from class stepped through.

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โœ๏ธ Practice

The 40 identities

The practice sheet, each with a strategy hint, a first-move hint, and the full proof when you want it.

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Coming next

๐ŸŽฏ 5.3

Solving trig equations

Seven methods, with fresh equations to solve and exact answers checked.

โž• 5.4

Sum and difference formulas

Exact values, the triangle method, and the double-angle formulas you derived.

How to use this

Go in order. Each lesson opens one box at a time: the idea, a worked example you step through, one to try, a short checkpoint. Everything you finish is remembered, so stop whenever and pick up where you left off.

Do the practice on paper. Proofs cannot be graded by a computer honestly, so work each one out, then compare with the full solution and mark whether you got there.