Question

What is the correct answer for all? I need help!!

Answer 1

1) We have to find csc(theta).

The csc of an angle can be written as:

`\csc (\theta)=(1)/(\sin (\theta))=(hypotenuse)/(opposite)`

Here, the hypotenuse is 8*sqrt(2) and the opposite side has a length of 8, so we can write:

`\csc (\theta)=\frac{8\sqrt[]{2}}{8}=\sqrt[]{2}`

Answer: B) sqrt(2)

2) The cot can be written as:

`\cot (\theta)=(1)/(\tan (\theta))=\frac{\text{adyacent}}{\text{opposite}}`

In this case, with adyacent of length 15 and opposite of length 8, we have:

`\cot (\theta)=(15)/(8)`

Answer: D) 15/8

3)

`\sin (\theta)=\frac{\text{opposite}}{\text{hypotenuse}}=(20)/(25)=(4)/(5)`

Answer: C) 4/5

4)

`\sin (\theta)=\frac{\text{opposite}}{\text{hypotenuse}}=(3)/(5)`

Answer: C) 3/5

5)

`\csc (\theta)=\frac{\text{hypotenuse}}{\text{opposite}}=(15)/(9)=(5)/(3)`

Answer: A) 5/3