Graphs of other trigonometric functions

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# Graphs of other trigonometric functions - PowerPoint PPT Presentation

Graphs of other trigonometric functions. Advanced Math 6.5. Tangent curve. Let’s graph it Amplitude – undefined Period – p Range (-∞, ∞). Tangent. Sketching tangent graphs. Find two vertical asymptotes and the x-intercept between them

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Presentation Transcript

### Graphs of other trigonometric functions

Tangent curve
• Let’s graph it
• Amplitude – undefined
• Period – p
• Range (-∞, ∞)

Tangent

Sketching tangent graphs
• Find two vertical asymptotes and the x-intercept between them
• Plot a few additional points between the asymptotes to sketch one cycle

Examples

Cotangent curve
• Let’s graph it
• Amplitude – undefined
• Period – p
• Range (-∞, ∞)

Cotangent

Sketching cotangent graphs
• Find two vertical asymptotes and the x-intercept
• Plot a few additional points between the asymptotes to sketch one cycle

Example

Cosecant
• Reciprocal of sine
• Start by graphing the sine curve
• csc curve has V.A. where sin curve has x-intercepts
• max. on sin curve are min. on csc curve
• min. on sin curve are max. on csc curve

Examples