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Precalculus · F-TF

Solve Trigonometric Equations on [0, 2π]

Solve sin(x) = k, cos(x) = k, or tan(x) = k on [0, 2π]. Use inverse trig to find the principal value, then find all solutions using symmetry.

PrecalculusCommon Core HSF-TF.B.7F-TFVerified correct ✓

Worked examples

Solve cos(x) = √2/2 on the interval [0, 2π). How many solutions are there? Enter the number of solutions.
Answer: 2
Solve tan(x) = -1 on the interval [0, 2π). How many solutions are there? Enter the number of solutions.
Answer: 2

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