Triangle abc has the given measures. solve the triangle(s), if any exist. a = 162â°, a = 6.1, b = 4 how many triangle(s) can possibly be formed?

Since A>90° and a>b, we can only form one triangle.
Lest solve it:
First we are going to use the law of sine to find the angle B:




°

To find angle C, we are going to take advantage of the fact that the sum of the interior angels of a triangle is 180°:




To find the remaining side c, we are going to use the law of sines:





We can conclude that we can only form a triangle with the given measures. 

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.