Trigonometric ratios

Question 1

Y = sin(x) graph?

Answer 1

Points repeat every 360
Roots: -360, -180, 0, 180, 360
Max: 1, Min: -1
Points repeat every 360

Question 2

Y = cos(x) graph?

Answer 2

Points repeat every 360
Roots: -270, -90, 90, 270, 450
Max: 1, Min: -1
(Can be found by shifting y = sin(x) to the left by 90)

Question 3

y= tan(x) graph?

Answer 3

Roots repeat every 180
Roots: -180, 0, 180, 360
NO MIN / MAX
Vertical asymptotes: -90, 90, 270

Question 4

tan(x) = ?

Answer 4

sin(x) / cos(x)

Question 5

1 = ?

Answer 5

sin^2(x) + cos^2(x)