Use the Unit Circle to find the exact value of the trig function. Cos(45) 1/2
√2/2
√3/-2
1

In a unit circle a line reaching from origin to the circle's circumference specifies the trigonometric functions.

A point where the line which comes from origin to the circumference intersecting it has coordinates .

In our case which lifts the line up by 45 degrees and makes it intersect circumference at .

In the upper right quadrant the angle between x and y axis is 90 degrees so a line coming in at angle of 45 degrees would split the quadrant in half, that means sine and cosine 45 degrees will be equal.

As you may noticed a point has coordinates cos, sin which means the distance between 0 and y coordinate where the point on a circle is, is called .

Because cosine 45 degrees is so simple in interpretation it has a known value of .

Hope this helps :)

there are no short passages to look at

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: