Simplify cot^2 theta + 1.
a. csc^2 theta
b. 0
c. cot^2 theta
d. cos^2 theta

A

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1

Divide all terms by sin²x

+ = , that is

1 + cot²x = csc²x

Thus

cot²θ + 1 = csc²θ → A

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)