Find the cosine of ∠X.
Write your answer in simplified, rationalized form. Do not round.

The terminal side of an angle θ in standard position intersects the unit circle at (12/13 , 5/13). What is sin(θ)? Write your answer in simplified, rationalized form.

SinѲ = 5/13

Step-by-step explanation:

We have radius (r) and angle (Ѳ) theta.

Where, x, y :

x = r cosѲ ….Equation 1

and y = r sinѲ Equation 2

r = √x² + y²

In the question we are given points on the unit circle as (12/13 , 5/13)

Where x = 12/13 , y = 5/13

r = √(12/13)² + (5/13)²

r = √144/169 +25/169

r = √169/169

r = √1

r = 1

In the question, we are asked to find sinѲ. Using Equation 2,

y = r sinѲ

Where y = 5/13 and r = 1

5/13 = 1 sinѲ

Divide both sides by 1

sinѲ = 5/13

Therefore, sinѲ = 5/13

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.