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Precalculus · Chapter 7.3
Double-Angle, Half-Angle & Product-Sum Formulas
Today's five problems from class are below, plus a redo of the exit ticket. Watch the quadrant of the half-angle itself, not just the original angle — that's the trap most of today's problems test.
0 π/2 π 3π/2 2π
Name
Period
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Grades every question above at once. Nothing is sent anywhere until you choose to email it.
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points
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Exact-value answers can be typed as a decimal or as a radical expression (e.g. sqrt(3)/2 , 2+sqrt(3) , or the π/√ symbols from the toolbar below — the checker evaluates whatever you type, so any algebraically equivalent form works). Angle answers should be typed as a multiple of π, e.g. pi/4 or 2pi/3 — "pi" or "π" both work. For a "list every solution" question, separate each value with a comma. For a general-solution question, enter the base angle(s) in the box(es) and choose whether the family repeats every 2π or every π from the dropdown. Click "Check answer" under any question to grade it on the spot — the correct answer shows up there if you miss it. Use the symbol toolbar at the bottom of the screen (π, √, and more) to drop special characters into any answer box.