Trigonometric functions

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   For an angle $\theta$ with $\sin\theta = \dfrac{5}{13}$ and $\cos\theta = \dfrac{12}{13}$, use the odd symmetry of tangent to evaluate $\tan(-\theta)$ exactly.

2. Warm-up

   For an angle $\theta$ with $\sin\theta = \dfrac{21}{29}$ and $\cos\theta = \dfrac{20}{29}$, use the odd symmetry of tangent to evaluate $\tan(-\theta)$ exactly.

3. Warm-up

   For an angle $\theta$ with $\sin\theta = \dfrac{3}{5}$ and $\cos\theta = \dfrac{4}{5}$, use the odd symmetry of tangent to evaluate $\tan(-\theta)$ exactly.

Problems shown under their original terms: Generated (template, solver-computed).