Trig/Pre-Calc - Trig Ratios

sin θ

$$\frac{y}{r}$$

$$\frac{y}{r}$$

sin θ

cos θ

$$\frac{x}{r}$$

$$\frac{x}{r}$$

cos θ

tan θ

$$\frac{y}{x}$$

$$\frac{y}{x}$$

tan θ

csc θ

$$\frac{r}{y}$$

$$\frac{r}{y}$$

csc θ

sec θ

$$\frac{r}{x}$$

$$\frac{r}{x}$$

sec θ

cot θ

$$\frac{x}{y}$$

$$\frac{x}{y}$$

cot θ

the radius is always…

POSITIVE

as they move from one quadrant to the other the signs of the x and y coordinates…

CHANGE

equation of a circle

$$x^2+y^2=r^2$$

sin θ is a reciprocal of

csc θ

csc θ is a reciprocal of

sin θ

cos θ is a reciprocal of

sec θ

sec θ is a reciprocal of

cos θ

tan θ is a reciprocal of

cot θ

cot θ is a reciprocal of

tan θ

3, 4, 5

pythagorean triple

8, 15, 17

pythagorean triple

5, 12, 13

pythagorean triple

9, 40, 41

pythagorean triple

7, 24, 25

pythagorean triple