Trig Functions Ms. Roque 11 th Grade Trigonometry Course Next slide
The 6 Trigonometry Functions: Click on each graph to learn more about the trig function Once done reviewing each function, click on the question mark for the review question!
Y=sinx Odd function Symmetry with respect to origin sin(-x)= -sin(x) Domain: all real numbers Range: [-1, 1] Back
Y=cosx Even function Symmetry with respect to the y-axis cos(x) = cos(-x) Domain: all real numbers Range: [-1, 1] Back
Y=tanx odd function Symmetry with respect to the origin -tan(x) = tan(-x) Domain: (-/2, /2) Range: all real numbers Back
Y=cscx Back
Y=secx Other even function besides cos(X) Symmetry with respect to the y-axis sec(x) = sec(-x) Also referred as “arccosΘ” Equal to 1/cos() Back
Y=cotx Odd function Symmetry with respect to the origin -cot(x) = cot(-x) Also referred as “arctanΘ” Equal to 1/tan() Back
Review Question: Which of the following trigonometry functions is even? A)Sin(x)Sin(x) B)Cos(x)Cos(x) C)Tan(x)Tan(x)
Try again! The graph of sin(x) is odd due to it having symmetry to the origin! Go back & try again!
You got it! The graph of cos(x) is even because it has symmetry with respect to the y-axis! Nice job Click to continue
Not quite! The graph of tan(x) is even because it has symmetry with respect to the y- axis! Back Go back & try again!
Congrats! Good job! You have successfully completed this lesson on Trigonometry Functions Click on the picture below to return to the title slide for the next student.