If tan ø = 12/5 and cos ø = -5/13 then what is sin ø?

a. 12
b. 5/13
c. -5/13
d. 12/13
e. -12/13

E

Step-by-step explanation:

using the trigonometric identity

sin²x + cos²x = 1, then

sinx = ±

Since tanΦ > 0 and cosΦ < 0 then Φ is in the third quadrant

where sinΦ < 0

sinΦ = - = - = - = - → E

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.