Find sec Θ if the terminal side of Θ in standard position contains the point (4, -3)
2 answers:
If we plot that point we find ourselves in QIV. The distance along the x axis is 4, and the distance down from that point is -3. If we create a right triangle with that segment, that segment serves as the hypotenuse of the triangle. We need its measure. Using Pythagorean's theorem, 
and 
. We see that c = 5. We need now to find the secant of that right triangle. Secant if the co-identity of cosine which is side adjacent over hypotenuse. That means that secant is the hypotenuse over the side adjacent. So our secant theta = 5/4
You might be interested in
The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.
The sides of the triangle are given as a = 20, b = 15, and c = 25.
We will use Hero's formula to find the area of this triangle.
<h3>What is Heron's formula?</h3>It is a three-face polygon that consists of three edges and three vertices.
We use Heron's formula to find the area of a triangle with 3 sides:
Herons formula:
Area of a triangle =
Where a, b, and c are sides of a triangle.
And s = semi perimeter of a triangle.
s =
If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.
Let the given sides be:
a = 20, b = 15 and c = 25.
(20 + 15) > 25
(20 + 25) > 15
(15 + 25) > 20 so the given sides are true.
Now,
Semi perimeter of the triangle:
s = (a+b+c) / 2
s = (20+15+25) / 2
s = 60 / 2
s = 30
Putting s = 30 in the area of the triangle.
we get,
Area of the triangle =
Area of the triangle =
Thus, the area of a triangle is 150.
Learn more about the Area of triangles here:
#SPJ1
Your answer is -90.05! :)))
