The terminal point determined by an angle is given by the point on the circumference of the unit circle such that the angle between the radius of the circle and the x-axis is the given angle.
Given the angle
This angle is equivalent to the angle
To find the terminal point, we note that the radius of the unit circle at that point makes a right angle with the coordinates of the terminal point.
We also note that angle
is on the 2nd quadrant of the coordinate axis. This means that the x-value of the terminal point is negative while the y-value is positive.
We also note that the radius of a unit circle is 1.
To find the x-coordinate of the terminal point, we use the relation
Similarly to find the y-coordinate of the terminal point, we use the relation
Therefore, the <span>coordinates of the terminal point determined by T = 20 pi /3 are
</span>
Answer:
Step-by-step explanation:
<u>Trigonometric Formulas</u>
To solve this problem, we must recall some basic relations and concepts.
The main trigonometric identity relates the sine to the cosine:
The tangent can be found by
The cosine and the secant are related by
They both have the same sign.
The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.
The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.
We are given
Find the cosine by solving
We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.
Now compute the tangent
Rationalizing
Well
8oz= 1 cup
1 cup= 2 pint
2 pint= 1 Quart
4 Quart= 1 Gallon
so you do the math
0.7 / 100 = 0.007 or 0.007 x 100 = 0.7 hope this helps