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vagabundo [1.1K]
3 years ago
10

The slope of a line is the ratio of the change of y to the change of X. Name the trigonometric ratio of theta that equals the sl

ope of line m (Picture provided)

Mathematics
2 answers:
lesya692 [45]3 years ago
8 0

Answer: C. Tangent

Step-by-step explanation: just took the test on edge

Elanso [62]3 years ago
7 0

Answer:

The trigonometric ratio of theta is tangent ⇒ answer (c)

Step-by-step 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

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