Question

PLEASE HELP ASAP!!!!!!!!!

Answer 1

The value of csc θ is  √10/ (-3).

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

As,

(1,−3) is in quadrant 4 and csc is negative.

Using Pythagoras,

H=√ 1² + (-3)²

H= √10

So, cosec θ= H/P

                  = √10/ (-3)

Learn more about this concept here:

brainly.com/question/17139523

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Answer 2

The radius of the circle is

$\sqrt{ {1}^{2} + {( - 3)}^{2} } = \sqrt{10}$

meaning that

$\sin( \theta ) = \frac{ - 3}{ \sqrt{10} }$

Thus,

$\csc \theta = - \frac{ \sqrt{10} }{3}$