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.
It's B because 5 x 4 = 20 and 9 x 5 = 45
When you add them together you get 65
Answer:
Step-by-step explanation:
a). Trapezoid ABCD has one acute angle, one obtuse angle and two right angles.
Since, angle B is an acute angle, mark the vertex A' having acute angle.
Similarly, Obtuse angle A' for A and other vertices.
b). Rigid transformation doesn't change the size and shape of the image.
Therefore, all angles and measure of sides of ABCD will remain unchanged.
Measure of angle A' = 130°, m∠B' = 50°
m(A'D') = m(AD) = 6 units
m(C'D') = m(CD) = 4 units