Read sine, cosine and tangent graphs

Read the three trigonometric function graphs

Choose one function at a time. Read its range and one full period, then distinguish a zero from an excluded input: tangent has gaps at its poles.

The source plots each function over $[-2\pi,2\pi]$; their domains extend beyond that displayed window.

sinx

Real domain: All real x

Range: $[-1,1]$

Period: $2\pi$

Symmetry and continuity: Odd: $\sin(-x)=-\sin x$; continuous

cosx

Real domain: All real x

Range: $[-1,1]$

Period: $2\pi$

Symmetry and continuity: Even: $\cos(-x)=\cos x$; continuous

tanx

Real domain: $x\ne\pi/2+k\pi$, integer k

Range: All real values

Period: $\pi$

Symmetry and continuity: Odd: $\tan(-x)=-\tan x$; continuous on each interval between its poles

The original tangent range row says “for all real x”, but the same table explicitly excludes $x=\pm\pi/2,\pm3\pi/2,\pm5\pi/2,\ldots$. The domain above makes that qualification consistent. The tangent graph redraw preserves separate branches and asymptotes rather than joining across the poles.