Mathematics: The sum of 5 and y is at least 18?

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...

The sum of 5 and y is at least 18? - id5189183343, lanakay2006

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hamaama

25.04.2023

Mathematics

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 $(\cos\theta,\sin\theta)$ .

In our case $\theta=45^\circ$ which lifts the line up by 45 degrees and makes it intersect circumference at $(\cos45^\circ,\sin45^\circ)$ .

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 $\cos\theta=\cos45^\circ$ .

Because cosine 45 degrees is so simple in interpretation it has a known value of $\cos45^\circ=\sin45^\circ=\frac{\sqrt{2}}{2}$ .

Hope this helps :)

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