(C) sin(-r) = -a
(D) sin(r) = -a
<u>Explanation:</u>
The unit circle definition allows us to extend the domain of sine and cosine to all real numbers. The process for determining the sine/cosine of any angle θ is as follows:
Starting from (1,0) move along the unit circle in the counterclockwise direction until the angle that is formed between your position, the origin, and the positive x-axis is equal to θ.
- sin θ is equal to the y-coordinate of your point, and
- cosθ is equal to the xxx-coordinate.
In the question, sin(-r) = -a and sin(r) = -a is equal to the x-coordinate, thus they are not correct.
An image is attached for reference.
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
Answer:
X= 8.51
Step-by-step explanation:
Subtract 9.52 from 18.03 to get x.
18.03 - 9.52 = 8.51
Therefore, x =8.51
Comment if you need clarification!
pacey = x
alex = 2x
paul = 3x
x + 2x + 3x = 342
6x =342
x = 342 / 6
x = 57
Pacey's fish = 57 pounds
Alex's fish = 57*2 = 114 pounds
Pauls fish = 57*3 = 171 pounds