Use the unit circle to find sec (-90)
1 answer:
Using the unit circle, you can visualise the secant as follows:
- Draw the vertical line passing trough (1,0)
- Extend the radius until it meets this line at point P
- The length of OP is the secant of your angle.
Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).
Thus, the secant is not defined at -90.
In fact, if we switch back to the function notation, we can confirm this claim, since we have
which is undefined.
You might be interested in
Answer:
(6,6)
Step-by-step explanation:
The midpoint formula is . Substitute (2,10) and (10,2) into this formula and simplify.
Answer:
Only truck 1 can pass under the bridge.
Step-by-step explanation:
So, first of all, we must do a drawing of what the situation looks like (see attached picture).
Next, we can take the general equation of an ellipse that is centered at the origin, which is the following:
where:
a= wider side of the ellipse
b= shorter side of the ellipse
in this case:
and
b=12ft
so we can go ahead and plug this data into the ellipse formula:
and we can simplify the equation, so we get:
So, we need to know if either truk will pass under the bridge, so we will match the center of the bridge with the center of each truck and see if the height of the bridge is enough for either to pass.
in order to do this let's solve the equation for y:
we can add everything inside parenthesis so we get:
and take the square root on both sides, so we get:
and we can simplify this so we get:
and now we can evaluate this equation for x=4 (half the width of the trucks) so:
y=11.73ft
this means that for the trucks to pass under the bridge they must have a maximum height of 11.73ft, therefore only truck 1 is able to pass under the bridge since truck 2 is too high.
