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

$\sin\theta,csc\theta,cot\theta$

Explanation:

It is given that,

The given circle is a unit circle.

That implies, the radius of the circle is 1.

Then,

$1=\sqrt{(\frac{11}{61})^2+(-\frac{60}{61})^2}$

That implies,

$\begin{gathered} \cos\theta=\frac{11}{61} \\ \sin\theta=-\frac{60}{61} \\ \lbrack\because r=1] \end{gathered}$

Therefore,

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

Hence, the answer is,

$\begin{gathered} \sin\theta=-\frac{60}{61} \\ csc\theta=-\frac{61}{60} \\ cot\theta=-\frac{11}{60} \end{gathered}$