Graphs of Secant and Cosecant Section 4 5

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Graphs of Secant and Cosecant Section 4. 5 b

Graphs of Secant and Cosecant Section 4. 5 b

The graph of the secant function Wherever cos(x) = 1, its reciprocal sec(x) is

The graph of the secant function Wherever cos(x) = 1, its reciprocal sec(x) is also 1. The graph has asymptotes at the zeros of the cosine function. The period of the secant function is as the cosine function. , the same A local maximum of y = cos(x) corresponds to a local minimum of y = sec(x), and vice versa.

The graph of the secant function

The graph of the secant function

The graph of the cosecant function Wherever sin(x) = 1, its reciprocal csc(x) is

The graph of the cosecant function Wherever sin(x) = 1, its reciprocal csc(x) is also 1. The graph has asymptotes at the zeros of the sine function. The period of the cosecant function is same as the sine function. , the A local maximum of y = sin(x) corresponds to a local minimum of y = csc(x), and vice versa.

The graph of the cosecant function

The graph of the cosecant function

Summary: Basic Trigonometric Functions Function Period Domain Range

Summary: Basic Trigonometric Functions Function Period Domain Range

Summary: Basic Trigonometric Functions Function Asymptotes Zeros Even/Odd None Even None Odd

Summary: Basic Trigonometric Functions Function Asymptotes Zeros Even/Odd None Even None Odd

Guided Practice Solve for x in the given interval No calculator!!! Third Quadrant Let’s

Guided Practice Solve for x in the given interval No calculator!!! Third Quadrant Let’s construct a reference triangle: – 1 Convert to radians: 2

Whiteboard Problem Solve for x in the given interval No calculator!!!

Whiteboard Problem Solve for x in the given interval No calculator!!!

Whiteboard Problem Solve for x in the given interval No calculator!!!

Whiteboard Problem Solve for x in the given interval No calculator!!!

Guided Practice Use a calculator to solve for x in the given interval. Third

Guided Practice Use a calculator to solve for x in the given interval. Third Quadrant The reference triangle: 1 1. 5 Does this answer make sense with our graph?

Guided Practice Use a calculator to solve for x in the given interval. Possible

Guided Practice Use a calculator to solve for x in the given interval. Possible reference triangles: 0. 3 -1 -0. 3 1 or