OpenStax, Algebra and Trigonometry 2e §9.3 Double-Angle, Half-Angle, and Reduction Formulas · Exercise 3 · Trigonometry · Compound & multiple angles

Double-Angle, Half-Angle, and Reduction Formulas · Exercise 3

We can determine the half-angle formula for $t an (\frac{x}{2}) = \frac{1 - cos x}{1 + cos x}$ by dividing the formula for $s in (\frac{x}{2})$ by $cos (\frac{x}{2}) .$ Explain how to determine two formulas for $t an (\frac{x}{2})$ that do not involve any square roots.

~5 minWritten answer · check your work with Lemma

OpenStax, Algebra and Trigonometry 2e · §9.3 Double-Angle, Half-Angle, and Reduction Formulas · Exercise 3

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.