Unit Circle Symmetry and Even-odd Identities Worksheet with Answer Key

What's on the worksheet

1. Write each expression as a single trig function of t (or of θ), with its sign.
   \tan(t - \pi)\csc(\pi - t)\sec(\pi + t)\cot(-t - \pi)\sin(-180^\circ - \theta)
2. Decide whether each function is even, odd or neither.
   f(t) = \sin^2 tg(t) = t^3 \sec th(t) = \cos t - \cot tk(t) = \dfrac{\tan t}{t}m(t) = \csc t + t
3. An angle t has t = 513 and t = 1213.
4. Simplify each expression.
5. An angle t has t - 3 t = 1.4.
6. Prove each identity by working one side into the other.
7. Mateo writes (π - t) = t, "because the terminal sides of π - t and t make the same angle with the x-axis."