Question

Hi, I'm not sure how to do this problem and I would like to know how. Thank you

Answer 1

Given:

The point is (0.6, 0.8).

The circle is unit circle.

`The\text{ angle is }\theta.`

Aim:

`We\text{ need to find }cos\theta,sin\theta\text{ and }cot\theta.`

Step-by-step explanation:

The formula to find the sin theta is

`sin\theta=(y)/(r)`
`where\text{ }r=√(x^2+y^2).`

Substitute x =0.6 and y =0.8 in the equaion to find r.

`r=√(0.6^2+0.8^2)=1`

Substitute y =0.8, r=1 in the sine formula.

`sin\theta=0.8`

We know that

`csc\theta=(1)/(sin\theta)=(1)/(0.8)=1.25`

Consider the formula to find cosine.

`cos\theta=(x)/(r)`

Substitute x =0.6 and r =1 in the equation.

`cos\theta=0.6`

We know that

`sec\theta=(1)/(cos\theta)=(1)/(0.6)=1.67`

Consider the formula to find cot.

`cot\theta=(x)/(y)`

Substitute x =0.6 and y=0.8 in the equation.

`cot\theta=(0.6)/(0.8)=0.75`

Final answer:

`csc\theta=1.25`
`sec\theta=1.67`
`cot\theta=0.75`