Interpreting the trigonometric graphs

12 questions

1. For a repeating function, the __________ is the distance of one repetition of the entire function.
2. Match the equivalent values.
3. Considering the cosine graph, what is the interval range showing a period?
4. Match the values of x to the values of y given y=x^2.
5. Using the function y=x^2, explain how you can show x = 3 and x = -3 give the same value of y.
6. Using the tangent graph, what is the interval range showing a period?
7. Using the sine graph, what is the interval range showing a period?
8. Using Desmos, draw a cosine graph with the x axis interval of 0°\leq x \leq 360° and solve for \cos(x°) = 1.
9. Using Desmos, draw a sine graph with the x axis interval of 0°\leq x \leq 360° and solve for \sin(x°) = 1.
10. Using Desmos, draw a sine graph with the x axis interval of 0°\leq x \leq 360° and estimate the solutions for \sin(x) = 0.65.
11. How can you check that the solutions to y=\cos(x°) = 0.42 within the interval of 0°\leq x \leq 720° are correct?
12. How many solutions will there be when \tan(x) = 1.6 in the interval 0°\leq x \leq 360° ?

License: OGL