Question

Match the tiles to the correct boxes to complete the pairs.

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.

1. cosB
2. tanC
3. sinB
4. tanB

A) c/b
B) b/a
C) b/c
D) c/a


Random answers will be reported!

Answer 1

1. cosB = c/a

2. tanC = c/b

3. sinB = b/a

4. tanB = b/c

Explanation:

Plato Answer!!

Answer 2

1 → D

2 → A

3 → B

4 → C

Explanation:

You need to remember that:

`cos\alpha=(adjacent)/(hypotenuse)\\\\sin\alpha=(opposite)/(hypotenuse)\\\\tan\alpha=(opposite)/(adjacent)`

Then:

-For angle B, you can identify in the figure that:

`opposite=b\\adjacent=c\\hypotenuse=a`

Then, you can substitute values and get:

`cosB=(c)/(a)`

`sinB=(b)/(a)`

`tanB=(b)/(c)`

- For angle C, you can identify in the figure that:

`opposite=c\\adjacent=b`

Therefore, substituting values, you get that:

`tanC=(c)/(b)`