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Graphs of other trigonometric functions

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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Graphs of other trigonometric functions

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  1. Graphs of other trigonometric functions Advanced Math 6.5

  2. Tangent curve • Let’s graph it • Amplitude – undefined • Period – p • Range (-∞, ∞) Advanced Math 6.4

  3. Tangent Advanced Math 6.4

  4. 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 • Add additional cycles to the right and left Advanced Math 6.4

  5. Examples Advanced Math 6.4

  6. Cotangent curve • Let’s graph it • Amplitude – undefined • Period – p • Range (-∞, ∞) Advanced Math 6.4

  7. Cotangent Advanced Math 6.4

  8. Sketching cotangent graphs • Find two vertical asymptotes and the x-intercept • Plot a few additional points between the asymptotes to sketch one cycle • Add additional cycles to the right and left Advanced Math 6.4

  9. Example Advanced Math 6.4

  10. 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 Advanced Math 6.4

  11. Examples Advanced Math 6.4

  12. Secant • Reciprocal of cosine • Start by graphing the cosine curve • sec curve has V.A. where cos curve has x-intercepts • max. on cos curve are min. on sec curve • min. on cos curve are max. on sec curve Advanced Math 6.4

  13. Examples Advanced Math 6.4

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