Question

Suppose that the same thing I did sent you to see if

Answer 1

Given

The point (11/61, -60/61) is at the unit circle.

To find the value of

`\sin\theta,csc\theta,cot\theta`

Step-by-step explanation:

It is given that,

The given circle is a unit circle.

That implies, the radius of the circle is 1.

Then,

`1=\sqrt{((11)/(61))^2+(-(60)/(61))^2}`

That implies,

`\begin{gathered} \cos\theta=(11)/(61) \\ \sin\theta=-(60)/(61) \\ \lbrack\because r=1] \end{gathered}`

Therefore,

`\begin{gathered} csc\theta=(1)/(((-60)/(61))) \\ =-(60)/(61) \\ cot\theta=(\cos\theta)/(\sin\theta) \\ =((11)/(61))/((-60)/(61)) \\ =-(11)/(60) \end{gathered}`

Hence, the answer is,

`\begin{gathered} \sin\theta=-(60)/(61) \\ csc\theta=-(61)/(60) \\ cot\theta=-(11)/(60) \end{gathered}`