What's that trig graph?

Front

What is the graph of the sine function characterized by?

Back

The sine function graph is a smooth, continuous wave that oscillates between -1 and 1, with a period of 2π.

Front

What is the graph of the cosine function characterized by?

Back

The cosine function graph is similar to the sine graph but starts at its maximum value of 1 when x=0, also oscillating between -1 and 1 with a period of 2π.

Front

What is the graph of the tangent function characterized by?

Back

The tangent function graph has vertical asymptotes and repeats every π, with values ranging from -∞ to +∞.

Front

What is the graph of the inverse sine function (ArcSin) characterized by?

Back

The inverse sine function graph is a curve that starts at (-1, -π/2) and ends at (1, π/2), mapping outputs from [-π/2, π/2].

Front

What is the graph of the inverse cosine function (ArcCos) characterized by?

Back

The inverse cosine function graph starts at (1, 0) and ends at (-1, π), mapping outputs from [0, π].

Front

What is the graph of the inverse tangent function (ArcTan) characterized by?

Back

The inverse tangent function graph approaches vertical asymptotes at y = -π/2 and y = π/2, mapping outputs from (-π/2, π/2).

Front

What is the graph of the cotangent function characterized by?

Back

The cotangent function graph has vertical asymptotes and repeats every π, with values ranging from -∞ to +∞.

Front

What is the graph of the secant function characterized by?

Back

The secant function graph has vertical asymptotes where the cosine function is zero and oscillates between -∞ and -1 or 1 and +∞.

Front

What is the graph of the cosecant function characterized by?

Back

The cosecant function graph has vertical asymptotes where the sine function is zero and oscillates between -∞ and -1 or 1 and +∞.

Front

What is the period of the sine and cosine functions?

Back

The period of both the sine and cosine functions is 2π.