Answer:
1.
2. 3.2362
3.
Step-by-step explanation:
1.
Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>
By pythagorean theorem, we have the "hypotenuse" as
Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc =
</em>
<em />
<em>First answer choice is right.</em>
<em />
2.
By definition, Csc is the inverse of Sine
. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>
Third answer choice is right.
3.
By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:
Third answer is right.