Answer:
The trigonometric ratio of theta is tangent ⇒ answer (c)
Explanation:
* Lets revise the trigonometry functions
- sinФ = the side opposite to angle Ф ÷ the hypotenuse
- cosФ = the side adjacent to angle Ф ÷ the hypotenuse
- tanФ = the side opposite to angle Ф ÷ the side adjacent to angle Ф
* Now read the definition of the slope and look to the figure
- The slope of a line is the ratio of the change of y to the change of x
∵ The change of y is opposite to angle Ф
∵ The change of x is adjacent to angle Ф
∴ The slope = the side opposite to Ф ÷ the side adjacent to Ф
* The slope of the line = tanФ
∴ The trigonometric ratio of theta is tangent